Algebra — Full Problem Index (2/3)

Problem	Final Answer	Solution
x2+6*x+2=0	−3±√(,7)	Solve Using the Quadratic Formula x^2+6x+2=0
√(,68)	2√(,17)	Calculate the Square Root square root of 68
√(,85)	√(,85)	Calculate the Square Root square root of 85
6x2+11x+3	(3x+1)(2*x+3)	Factor 6x^2+11x+3
125*x3−8	(5x−2)(25x2+10x+4)	Factor 125x^3-8
1/2⋅1/2	1/4	Evaluate 1/2*1/2
1/2+1/3	5/6	Evaluate 1/2+1/3
6(−1)	1/6	Evaluate 6^-1
100	2×5	Find the Prime Factorization 100
3/5	0.6	Convert to a Decimal 3/5
(x+y)4	x4+4x3y+6x2y2+4xy3+y4	Expand Using the Binomial Theorem (x+y)^4
y=−2*x2	−2*x2	Graph -2x^2
x−2*y=4	1/2*x−2	Graph x-2y=4
y=x5	x5	Graph y=x^5
x2=−36	±6*i	Solve Using the Square Root Property x^2=-36
3x+2y=6	2−2/3*y	Solve for x 3x+2y=6
√(4,162)	3√(4,2)	Simplify fourth root of 162
x2+4*x=12	2, -6$	Solve Using the Quadratic Formula x^2+4x=12
x2+5*x+1=0	(−5±√(,21))/2	Solve Using the Quadratic Formula x^2+5x+1=0
x2−11*x+30=0	5, 6$	Solve Using the Quadratic Formula x^2-11x+30=0
3*x2+x−2=0	2/3,−1	Solve Using the Quadratic Formula 3x^2+x-2=0
x2+14*x+33	(x+3)*(x+11)	Factor x^2+14x+33
x2+11*x+10	(x+1)*(x+10)	Factor x^2+11x+10
x3+2*x2−x−2	(x−1)(x+1)(x+2)	Factor x^3+2x^2-x-2
3*x−6	3(x - 2)$	Factor 3x-6
(log_81)(3)	1/4	Evaluate log base 81 of 3
10(−1)	1/10	Evaluate 10^-1
−6	−216	Evaluate -6^3
3/6	1/2	Evaluate 3/6
7/4	1.75	Evaluate 7/4
8(−1/3)	1/2	Evaluate 8^(-1/3)
√(,3)⋅√(,5)	√(,15)	Evaluate square root of 3* square root of 5
√(,2/5)	√(,10)/5	Evaluate square root of 2/5
y=3	3	Graph 3^x
y=m*x+b	(y−b)/x	Solve for m y=mx+b
(2+3*i)2	−5+12*i	Simplify (2+3i)^2
x2=16	±4	Solve for x x^2=16
x/(2x+2)=(−2x)/(4x+4)+(2x−3)/(x+1)	(−2x)/(4x+4)+(2*x−3)/(x+1)⇒x=3	Solve by Factoring x/(2x+2)=(-2x)/(4x+4)+(2x-3)/(x+1)
x2+14*x+49=0	−7	Solve Using the Quadratic Formula x^2+14x+49=0
x2−x−2=0	2, -1$	Solve Using the Quadratic Formula x^2-x-2=0
x2−8*x−9=0	9, -1$	Solve Using the Quadratic Formula x^2-8x-9=0
y=x2+4*x−5	see full solution →	Find the x and y Intercepts y=x^2+4x-5
y2−64	(y−8)*(y+8)	Factor y^2-64
r2−49	(r−7)*(r+7)	Factor r^2-49
6x2+5x−4	(2x−1)(3*x+4)	Factor 6x^2+5x-4
ƒ(x)=3*x−4	(x+4)/3	Find the Inverse f(x)=3x-4
6=36	36⇔(log_6)(36)=2	Convert to Logarithmic Form 6^2=36
−2	−1	Evaluate -2^0
−2/3	−0.*(6)	Evaluate -2/3
8÷2*(2+2)	16	Evaluate 8÷2(2+2)
7/8	0.875	Convert to a Decimal 7/8
ƒ(x)=2	2	Graph f(x)=2
x4−81=0	3, -3, 3i, -3i$	Solve by Factoring x^4-81=0
x2−5=0	±√(,5)	Solve Using the Quadratic Formula x^2-5=0
4x2−81y2	(2x−9y)(2x+9*y)	Factor 4x^2-81y^2
4x2−8x+3	(2x−3)(2*x−1)	Factor 4x^2-8x+3
x3+343	(x+7)(x2−7x+49)	Factor x^3+343
x3+x2+x+1	(x+1)*(x2+1)	Factor x^3+x^2+x+1
x2+2*x+3	(x+1−i√(,2))*(x+1+i√(,2))	Factor x^2+2x+3
(−9)0	1	Evaluate (-9)^0
90	2×3×5	Find the Prime Factorization 90
8	4096	Evaluate 8^4
60÷5*(7−5)	24	Evaluate 60÷5(7-5)
√(,−175)	5*i√(,7)	Evaluate square root of -175
4√(,2)	4√(,2)≈5.65685	Evaluate 4 square root of 2
y=x4	x4	Graph y=x^4
ƒ(x)=x2−6*x+8	(x−3)2−1	Graph f(x)=x^2-6x+8
(x+3)*(x+4)	x2+7*x+12	Simplify (x+3)(x+4)
x2+x2	2*x2	Simplify x^2+x^2
(−20+√(,−75))/40	−1/2+√(,3)/8*i	Simplify (-20+ square root of -75)/40
x2−2*x=15	5, -3$	Solve Using the Quadratic Formula x^2-2x=15
x2−11*x+10	(x−1)*(x−10)	Factor x^2-11x+10
3x2+13x+4	(3x+1)(x+4)	Factor 3x^2+13x+4
3x2+17x+10	(3x+2)(x+5)	Factor 3x^2+17x+10
(−6)0	1	Evaluate (-6)^0
10/3	3.*(3)	Evaluate 10/3
3/7	0.*(428571)	Evaluate 3/7
81	3	Find the Prime Factorization 81
40	2×5	Find the Prime Factorization 40
5√(,3)	5√(,3)≈8.66025	Evaluate 5 square root of 3
√(,320)	8√(,5)	Evaluate square root of 320
√(,61)	√(,61)≈7.81024967591	Evaluate square root of 61
x−4=0	4	Graph x-4=0
4x+3y=12	−4/3*x+4	Graph 4x+3y=12
y=−3	−3	Find the y-intercept y=-3
6=1−2*n+5	0	Solve for n 6=1-2n+5
ln(x)=3	3⇒x=e3	Solve for x natural log of x=3
2(4x−3)−8=4+2*x	3	Solve for x 2(4x-3)-8=4+2x
2x−3y=6	3/2*y+3	Solve for x 2x-3y=6
(x+3)2	x2+6*x+9	Multiply (x+3)^2
x2−6*x+4=0	3±√(,5)	Solve Using the Quadratic Formula x^2-6x+4=0
x2−x−30=0	6, -5$	Solve Using the Quadratic Formula x^2-x-30=0
x2−x−72=0	9, -8$	Solve Using the Quadratic Formula x^2-x-72=0
x2−12*x+32=0	8, 4$	Solve Using the Quadratic Formula x^2-12x+32=0
√(,65)	√(,65)≈8.0622577	Calculate the Square Root square root of 65
√(,216)	6√(,6)	Calculate the Square Root square root of 216
2*x+2	2(x + 1)$	Factor 2x+2
x2+9*x−36	(x+12)*(x−3)	Factor x^2+9x-36
64−x2	(8−x)*(8+x)	Factor 64-x^2
x+x	2*x	Factor x+x
8x3−27y3	(2x−3y)(4x2+6xy+9*y2)	Factor 8x^3-27y^3
ƒ(x)=3*x−2	(x+2)/3	Find the Inverse f(x)=3x-2
(5*x)2	25*x2	Simplify (5x)^2
(log_7)(1)	0	Evaluate log base 7 of 1
eln(3)	3	Evaluate e^( natural log of 3)
(−8)0	1	Evaluate (-8)^0
(−16)(3/4)	−4√(,2)+4*i√(,2)	Evaluate (-16)^(3/4)
√(,58)	√(,58)	Evaluate square root of 58
−√(,−81)	−9*i	Evaluate - square root of -81
√(,3/2)	√(,6)/2	Evaluate square root of 3/2
3√(,8)	6√(,2)	Evaluate 3 square root of 8
6√(,2)	6√(,2)≈8.4852	Evaluate 6 square root of 2
ƒ(x)=x2−6	x2−6	Graph f(x)=x^2-6
( y =	x - 2	)
y=√(,x−4)	√(,x−4)	Graph y = square root of x-4
V=LWH	V/(L*H)	Solve for W V=LWH
s=2πr2+2πr*h	(s−2πr2)/(2πr)	Solve for h s=2pr^2+2prh
(x−1)*(x+1)	x2−1	Simplify (x-1)(x+1)
√(3,64*y6)	4*y2	Simplify cube root of 64y^6
√(,147)	7√(,3)	Calculate the Square Root square root of 147
x2+2*x−48=0	6, -8$	Solve Using the Quadratic Formula x^2+2x-48=0
x2+12*x+35=0	−5,−7	Solve Using the Quadratic Formula x^2+12x+35=0
2x2−7x+5=0	5/2,1	Solve Using the Quadratic Formula 2x^2-7x+5=0
2x2−5x−1=0	(5±√(,33))/4	Solve Using the Quadratic Formula 2x^2-5x-1=0
64*x3+125	(4x+5)(16x2−20x+25)	Factor 64x^3+125
6x2−13x−5	(3x+1)(2*x−5)	Factor 6x^2-13x-5
x2−3	(x−√(,3))*(x+√(,3))	Factor x^2-3
(−9)(−2)	1/81	Evaluate (-9)^-2
10	1	Evaluate 10^0
√(3,72)	2√(3,9)	Evaluate cube root of 72
(2*x−1)2	4x2−4x+1	Expand Using the Binomial Theorem (2x-1)^2
y=√(,x+4)	√(,x+4)	Graph y = square root of x+4
ƒ(x)=x2−4*x+3	(x−2)2−1	Graph f(x)=x^2-4x+3
ƒ(x)=(x−4)2	(x−4)2	Graph f(x)=(x-4)^2
(log_3)(81)=4	4* is True	Determine if True log base 3 of 81=4
4/(9+i)	18/41−2/41*i	Divide 4/(9+i)
x2=64	±8	Solve for x x^2=64
4=64	64⇒x=3	Solve for x 4^x=64
6/x=7/(x+3)	7/(x+3)⇒x=18	Solve for x 6/x=7/(x+3)
√(,x2⋅1)	$	x
2x+5y=10	x-intercept: (5,0), y-intercept: (0,2)	Find the x and y Intercepts 2x+5y=10
4x−3y=12	x-intercept: (3,0), y-intercept: (0,−4)	Find the x and y Intercepts 4x-3y=12
x2−2*x=0	0, 2$	Solve Using the Quadratic Formula x^2-2x=0
x2−6*x−40	(x+4)*(x−10)	Factor x^2-6x-40
n2−10*n+9	(n−9)*(n−1)	Factor n^2-10n+9
n2−11*n+10	(n−1)*(n−10)	Factor n^2-11n+10
2*x+6	2(x + 3)$	Factor 2x+6
4*x2+25	(2x+5i)(2x−5*i)	Factor 4x^2+25
2x2−11x+15	(2x−5)(x−3)	Factor 2x^2-11x+15
6x2+37x+6	(6x+1)(x+6)	Factor 6x^2+37x+6
(log_8)(8)	1	Evaluate log base 8 of 8
32	2	Find the Prime Factorization 32
9	1	Evaluate 9^0
i4⋅1	1	Simplify i^4*1
x−3*y=6	1/3*x−2	Graph x-3y=6
4x2+9y2=36	1	Graph 4x^2+9y^2=36
y=−x−5	—	Graph y=-x-5
V=2*h	V/2	Solve for h V=2*h
2=5	ln(5)/ln(2)	Solve for x 2^x=5
(a+b)*(a−b)	a2−b2	Simplify (a+b)(a-b)
x2−9=0	±3	Solve for x x^2-9=0
x2−2*x+3=0	1±i√(,2)	Solve Using the Quadratic Formula x^2-2x+3=0
2x2+3x+5=0	(−3±i√(,31))/4	Solve Using the Quadratic Formula 2x^2+3x+5=0
4x2−5x−6	(4x+3)(x−2)	Factor 4x^2-5x-6
36x2−49y2	(6x−7y)(6x+7*y)	Factor 36x^2-49y^2
36*x2−1	(6x−1)(6*x+1)	Factor 36x^2-1
x2+3	(x+i√(,3))*(x−i√(,3))	Factor x^2+3
y3+64	(y+4)(y2−4y+16)	Factor y^3+64
y2+6xy+9*x2	(y+3*x)2	Factor y^2+6xy+9x^2
ƒ(x)=2*x−5	(x+5)/2	Find the Inverse f(x)=2x-5
(log_4)(1/64)	−3	Evaluate log base 4 of 1/64
5(−3)=1/125	see full solution →	Convert to Logarithmic Form 5^-3=1/125
(−3)0	1	Evaluate (-3)^0
(−1)3	−1	Evaluate (-1)^3
−25(1/2)	−5	Evaluate -25^(1/2)
4/2	2	Evaluate 4/2
4/6	2/3	Evaluate 4/6
√(4,1296)	6	Evaluate fourth root of 1296
√(,99)	3√(,11)	Evaluate square root of 99
√(,145)	√(,145)	Evaluate square root of 145
√(,−108)	6*i√(,3)	Evaluate square root of -108
x2+y2=64	see full solution →	Graph x^2+y^2=64
ƒ(x)=3	3* is a horizontal line passing through *(0,3)	Graph f(x)=3
y=−2	−2⇒y-intercept=−2	Find the y-intercept y=-2
3/8	37.5*%	Convert to a Percentage 3/8
x2=−25	±5*i	Solve Using the Square Root Property x^2=-25
2*x+y=4	2−y/2	Solve for x 2x+y=4
i47	−i	Simplify i^47
√(,y13)	y6√(,y)	Simplify square root of y^13
x2+2*x−3=0	1, -3$	Solve by Completing the Square x^2+2x-3=0
4x2+12x+9=0	−3/2	Solve Using the Quadratic Formula 4x^2+12x+9=0
x3+2x2−9x−18	(x+2)(x−3)(x+3)	Factor x^3+2x^2-9x-18
3x2+19x+20	(3x+4)(x+5)	Factor 3x^2+19x+20
2x2−11x+12	(2x−3)(x−4)	Factor 2x^2-11x+12
25−x2	(5−x)*(5+x)	Factor 25-x^2
4x2−4x−15	(2x+3)(2*x−5)	Factor 4x^2-4x-15
4x2−35x+49	(4x−7)(x−7)	Factor 4x^2-35x+49
5	15625	Evaluate 5^6
−√(,−64)	−8*i	Evaluate - square root of -64
√(5,−1)	−1	Evaluate fifth root of -1
(2*x+1)2	4x2+4x+1	Expand Using the Binomial Theorem (2x+1)^2
−x3	−x3	Graph -x^3
y=(1/5)x	(1/5)x	Graph y=(1/5)^x
i36	1	Simplify i^36
i28	1	Simplify i^28
√(,2*x+3)−√(,x+1)=1	1⇒x=3,−1	Solve by Factoring
√(,41)	√(,41)≈6.403124237	Calculate the Square Root square root of 41
x2+5*x+7=0	(−5±i√(,3))/2	Solve Using the Quadratic Formula x^2+5x+7=0
x2−11*x+18=0	9, 2$	Solve Using the Quadratic Formula x^2-11x+18=0
9*x2−100	(3x−10)(3*x+10)	Factor 9x^2-100
2*x−3	2*x−3	Factor 2x-3
(log_3)(1/27)	−3	Evaluate log base 3 of 1/27
(−32)(1/5)	−2	Evaluate (-32)^(1/5)
11/2	5.5	Evaluate 11/2
15	3×5	Find the Prime Factorization 15
175	5×7	Find the Prime Factorization 175
7⋅8	56	Evaluate 7*8
5x−2y=10	5/2*x−5	Graph 5x-2y=10
x2−4=0	±2	Solve for x x^2-4=0
(x+6)*(x−6)	x2−36	Simplify (x+6)(x-6)
i44	1	Simplify i^44
x2=36	±6	Solve for x x^2=36
x2−4*x−45=0	9, -5$	Solve Using the Quadratic Formula x^2-4x-45=0
x2−4*x=21	7, -3$	Solve Using the Quadratic Formula x^2-4x=21
2x2+5x−4=0	(−5±√(,57))/4	Solve Using the Quadratic Formula 2x^2+5x-4=0
2x2−5x−4=0	(5±√(,57))/4	Solve Using the Quadratic Formula 2x^2-5x-4=0
√(,44)	2√(,11)	Calculate the Square Root square root of 44
√(,26)	√(,26)≈5.09901951359	Calculate the Square Root square root of 26
4x2−20x+25=0	0⇒x=5/2	Solve Using the Quadratic Formula 4x^2-20x+25=0
2*x−4	2(x - 2)$	Factor 2x-4
3x2−7x+4	(3x−4)(x−1)	Factor 3x^2-7x+4
x2+2*x−1	(x+1−√(,2))*(x+1+√(,2))	Factor x^2+2x-1
x2+18*x+77	(x+7)*(x+11)	Factor x^2+18x+77
y3+8	(y+2)(y2−2y+4)	Factor y^3+8
y2−9	(y−3)*(y+3)	Factor y^2-9
k2−13*k+40	(k−5)*(k−8)	Factor k^2-13k+40
n2−5*n+6	(n−2)*(n−3)	Factor n^2-5n+6
a2−4	(a−2)*(a+2)	Factor a^2-4
(−27)(−2/3)	1/9	Evaluate (-27)^(-2/3)
4(−1/2)	1/2	Evaluate 4^(-1/2)
216(2/3)	36	Evaluate 216^(2/3)
2/4	1/2	Evaluate 2/4
15/2	7.5	Evaluate 15/2
9×6	54	Evaluate 9*6
−√(,−121)	−11*i	Evaluate - square root of -121
√(,−180)	6*i√(,5)	Evaluate square root of -180
x2=27	±3√(,3)	Solve Using the Square Root Property x^2=27
x2=−9	±3*i	Solve Using the Square Root Property x^2=-9
y=x2+2*x−3	x2+2*x−3	Graph y=x^2+2x-3
12=−4(−6x−3)	0	Solve for x 12=-4(-6x-3)
√(,3*x+1)−√(,x−1)=2	2⇒x=1,5	Solve for x
√(,9*x6)	3*x3	Simplify square root of 9x^6
5x−2y=10	x-intercept: (2,0), y-intercept: (0,−5)	Find the x and y Intercepts 5x-2y=10
3x−4y=12	x-intercept: (4,0), y-intercept: (0,−3)	Find the x and y Intercepts 3x-4y=12
x2−12*x+35=0	7, 5$	Solve Using the Quadratic Formula x^2-12x+35=0
x2+12*x	x*(x+12)	Factor x^2+12x
3x2+17x+20	(3x+5)(x+4)	Factor 3x^2+17x+20
3x2+13x−10	(3x−2)(x+5)	Factor 3x^2+13x-10
2x2+10x+12	2(x + 2)(x + 3)$	Factor 2x^2+10x+12
5x2−13x−6	(5x+2)(x−3)	Factor 5x^2-13x-6
(−216)(2/3)	36	Evaluate (-216)^(2/3)
8/2	4	Evaluate 8/2
−10	−100	Evaluate -10^2
√(4,96)	2√(4,6)	Evaluate fourth root of 96
y=√(,4−x2)	see full solution →	Graph y = square root of 4-x^2
x2=−16	±4*i	Solve Using the Square Root Property x^2=-16
(x−2)2	(x−2)2	Graph (x-2)^2
y+5*x>0	y>−5*x	Graph y+5x>0
3x−2y=6	2/3*y+2	Solve for x 3x-2y=6
√(,x12)	x6	Simplify square root of x^12
9x2+21x−8=0	−8/3,1/3	Solve by Factoring 9x^2+21x-8=0
x2+6*x+10=0	−3±i	Solve Using the Quadratic Formula x^2+6x+10=0
x2−6*x+2=0	3±√(,7)	Solve Using the Quadratic Formula x^2-6x+2=0
x2−3*x=10	5, -2$	Solve Using the Quadratic Formula x^2-3x=10
64*x2−25	(8x−5)(8*x+5)	Factor 64x^2-25
8x2+10x−3	(4x−1)(2*x+3)	Factor 8x^2+10x-3
2x2−3x−20	(2x+5)(x−4)	Factor 2x^2-3x-20
x2−x+1	(x−(1+i√(,3))/2)*(x−(1−i√(,3))/2)	Factor x^2-x+1
100(3/2)	1000	Evaluate 100^(3/2)
1	1	Evaluate 1^3
66	2⋅3⋅11	Find the Prime Factorization 66
4/5	0.8	Convert to a Decimal 4/5
(4*x−3)2	16x2−24x+9	Expand Using the Binomial Theorem (4x-3)^2
x2=45	±3√(,5)	Solve Using the Square Root Property x^2=45
y=√(,x+3)	1/6	Find the Slope x=6
y=4*x−1	4*x−1	Graph y=4x-1
x≥−6	x≥−6	Graph x>=-6
y=√(,x−2)	√(,x−2)	Graph y = square root of x-2
y=x3−1	x3−1	Graph y=x^3-1
y>2*x+1	y>2*x+1	Graph y>2x+1
(log_5)(125)=3	3* is True	Determine if True log base 5 of 125=3
x2=9	±3	Solve for x x^2=9
√(,64)	8	Simplify square root of 64
√(,12*x2)	2	x
4x+3y=12	x-intercept: (3,0), y-intercept: (0,4)	Find the x and y Intercepts 4x+3y=12
x3+27=0	−3,(3±3*i√(,3))/2	Solve by Factoring x^3+27=0
x2−4*x+13=0	2±3*i	Solve Using the Quadratic Formula x^2-4x+13=0
x2−14*x−4=0	7±√(,53)	Solve Using the Quadratic Formula x^2-14x-4=0
x2+6*x−1=0	−3±√(,10)	Solve Using the Quadratic Formula x^2+6x-1=0
3x2−7x+2=0	2,1/3	Solve Using the Quadratic Formula 3x^2-7x+2=0
√(,35)	√(,35)	Calculate the Square Root square root of 35
y2−25	(y−5)*(y+5)	Factor y^2-25
81*x2−1	(9x−1)(9*x+1)	Factor 81x^2-1
5x2−22x−15	(5x+3)(x−5)	Factor 5x^2-22x-15
ln(x2*y)	2*ln(x)+ln(y)	Expand the Logarithmic Expression natural log of x^2y
(4)(1/2)	65536	Evaluate (4^16)^(1/2)
(−7)0	1	Evaluate (-7)^0
√(,23)	√(,23)≈4.79583152331	Evaluate square root of 23
√(,512)	16√(,2)	Evaluate square root of 512
y=(log_2)(x)	(log_2)(x)	Graph log base 2 of x
x2=−4	±2*i	Solve Using the Square Root Property x^2=-4
(2*x−5)2	4x2−20x+25	Simplify (2x-5)^2
2=64	6	Solve for x 2^x=64
v=1/3πr2*h	√(,(3v)/(πh))	Solve for r v=1/3*(pr^2h)
3x+4y=12	4−4/3*y	Solve for x 3x+4y=12
x2+4=0	±2*i	Solve for x x^2+4=0
(x+3)*(x+2)	x2+5*x+6	Simplify (x+3)(x+2)
(−8+√(,−20))/24	(−4+i√(,5))/12	Simplify (-8+ square root of -20)/24
√(,192)	8√(,3)	Simplify square root of 192
(x+4)/(x−1)/(x2+x)/(x−1)	(x+4)/(x*(x+1))	Simplify ((x+4)/(x-1))/((x^2+x)/(x-1))
2*x2+x−1=0	1/2,−1	Solve Using the Quadratic Formula 2x^2+x-1=0
49*x2−1	(7x−1)(7*x+1)	Factor 49x^2-1
81*x4−16	(3x−2)(3x+2)(9*x2+4)	Factor 81x^4-16
7x2−31x−20	(7x+4)(x−5)	Factor 7x^2-31x-20
x2+14*x+24	(x+2)*(x+12)	Factor x^2+14x+24
x2+3*x+4	irreducible over the real numbers	Factor x^2+3x+4
x2−3*x+9	(x−(3+3i√(,3))/2)(x−(3−3*i√(,3))/2)	Factor x^2-3x+9
x2+8xy+16*y2	(x+4*y)2	Factor x^2+8xy+16y^2
x2−13*x+30	(x−3)*(x−10)	Factor x^2-13x+30
2*x2−72	2(x - 6)(x + 6)$	Factor 2x^2-72
(log_)(4)	(log_)(4)≈0.60206	Evaluate log of 4
3(−5)	1/243	Evaluate 3^-5
(−256)(3/4)	−32√(,2)+32*i√(,2)	Evaluate (-256)^(3/4)
(−1/2)2	1/4	Evaluate (-1/2)^2
1/9	0.*1	Evaluate 1/9
−5	−625	Evaluate -5^4
(1/2)2	1/4	Evaluate (1/2)^2
7/3	2.*(3)	Evaluate 7/3
√(,33)	√(,33)	Evaluate square root of 33
(x−1)3	x3−3x2+3x−1	Expand Using the Binomial Theorem (x-1)^3
ƒ(x)=x2−2*x−3	(x−1)2−4	Graph f(x)=x^2-2x-3
3=243	243⇒x=5	Solve for x 3^x=243
3=27	27⇒x=3	Solve for x 3^x=27
2x+3y=12	6−3/2*y	Solve for x 2x+3y=12
i55	−i	Simplify i^55
√(,75x2y)	5	x
x2−14*x−4=0	7±√(,53)	Solve by Completing the Square x^2-14x-4=0
x2+3*x=0	0, -3$	Solve Using the Quadratic Formula x^2+3x=0
x2+16*x+64=0	−8	Solve Using the Quadratic Formula x^2+16x+64=0
x2−2*x+4=0	1±i√(,3)	Solve Using the Quadratic Formula x^2-2x+4=0
x2−5*x+3=0	(5±√(,13))/2	Solve Using the Quadratic Formula x^2-5x+3=0
2x2−13x−7	(2x+1)(x−7)	Factor 2x^2-13x-7
25x2−40x+16	(5*x−4)2	Factor 25x^2-40x+16
4−x2	(2−x)*(2+x)	Factor 4-x^2
x3−2x2−9x+18	(x−3)(x+3)(x−2)	Factor x^3-2x^2-9x+18
5x2−22x+8	(5x−2)(x−4)	Factor 5x^2-22x+8
6x2+7x−5	(2x−1)(3*x+5)	Factor 6x^2+7x-5
ƒ(x)=2*x+5	(x−5)/2	Find the Inverse f(x)=2x+5
(3/4)(−3)	64/27	Evaluate (3/4)^-3
(−8)(−2/3)	1/4	Evaluate (-8)^(-2/3)
(−16)(1/4)	√(,2)+i√(,2)	Evaluate (-16)^(1/4)
2.5	5/2	Convert to a Simplified Fraction 2.5
√(,2)⋅√(,8)	4	Evaluate square root of 2* square root of 8
14⋅14	196	Evaluate 14*14
−2	−32	Evaluate -2^5
y=4*x+5	4*x+5	Graph y=4x+5
7/8	87.5*%	Convert to a Percentage 7/8
y=(x+5)2	(x+5)2	Graph y=(x+5)^2
(a+b)2	a2+2ab+b2	Simplify (a+b)^2
x2+4*x+6=0	−2±i√(,2)	Solve Using the Quadratic Formula x^2+4x+6=0
x2+x+3=0	(−1±i√(,11))/2	Solve Using the Quadratic Formula x^2+x+3=0
y=x2−6*x+5	see full solution →	Find the x and y Intercepts y=x^2-6x+5
√(,324)	18	Calculate the Square Root square root of 324
9x2+5x−1=0	(−5±√(,61))/18	Solve Using the Quadratic Formula 9x^2+5x-1=0
6*x2+x−12	(3x−4)(2*x+3)	Factor 6x^2+x-12
5x2+7x+2	(5x+2)(x+1)	Factor 5x^2+7x+2
5x2+14x−3	(5x−1)(x+3)	Factor 5x^2+14x-3
7x2−13x−2	(7x+1)(x−2)	Factor 7x^2-13x-2
x3+5x2−9x−45	(x−3)(x+3)(x+5)	Factor x^3+5x^2-9x-45
x2−2*x+2	(x−1−i)*(x−1+i)	Factor x^2-2x+2
y3+125	(y+5)(y2−5y+25)	Factor y^3+125
3x2+2x−1	(3x−1)(x+1)	Factor 3x^2+2x-1
3n2−8n+4	(3n−2)(n−2)	Factor 3n^2-8n+4
x(2/3)	√(3,x2)	Convert to Radical Form x^(2/3)
(log_3)(81)	4	Expand the Logarithmic Expression log base 3 of 81
(−5)4	625	Evaluate (-5)^4
(x+10)2	x2+20*x+100	Expand Using the Binomial Theorem (x+10)^2
√(,3/7)	√(,21)/7	Evaluate square root of 3/7
√(,10/7)	√(,70)/7	Evaluate square root of 10/7
ƒ(x)=x2	1} = 2$	Find the Slope x=1
ƒ(x)=2*x−4	see full solution →	Graph f(x)=2x-4
ƒ(x)=2(−x)	2(−x)	Graph f(x)=2^(-x)
x2−x=0	0, 1$	Solve for x x^2-x=0
x−y=4	y+4	Solve for x x-y=4
(x+3)*(x+3)	x2+6*x+9	Simplify (x+3)(x+3)
(x−4)*(x+4)	x2−16	Simplify (x-4)(x+4)
(−12+√(,−45))/24	−1/2+√(,5)/8*i	Simplify (-12+ square root of -45)/24
√(,100*x2)	10	x
9x2+21x−8=0	1/3,−8/3	Solve Using the Quadratic Formula 9x^2+21x-8=0
8x2+10x−7=0	1/2,−7/4	Solve Using the Quadratic Formula 8x^2+10x-7=0
x2+x−2=0	1, -2$	Solve Using the Quadratic Formula x^2+x-2=0
x2−121=0	±11	Solve Using the Quadratic Formula x^2-121=0
x2+3*x−7=0	(−3±√(,37))/2	Solve Using the Quadratic Formula x^2+3x-7=0
x2+2*x−5=0	−1±√(,6)	Solve Using the Quadratic Formula x^2+2x-5=0
x2+2*x−10=0	−1±√(,11)	Solve Using the Quadratic Formula x^2+2x-10=0
x2−16*x+64=0	0⇒x=8	Solve Using the Quadratic Formula x^2-16x+64=0
2x2−3x+5=0	(3±i√(,31))/4	Solve Using the Quadratic Formula 2x^2-3x+5=0
3x2+5x−2=0	1/3,−2	Solve Using the Quadratic Formula 3x^2+5x-2=0
2x2+4x	2x(x+2)	Factor 2x^2+4x
y3+27	(y+3)(y2−3y+9)	Factor y^3+27
y2−81	(y−9)*(y+9)	Factor y^2-81
x2−2*x−1	(x−1−√(,2))*(x−1+√(,2))	Factor x^2-2x-1
x2+x−90	(x+10)*(x−9)	Factor x^2+x-90
6x2−7x−20	(3x+4)(2*x−5)	Factor 6x^2-7x-20
(log_2)(8)	3	Expand the Logarithmic Expression log base 2 of 8
(log_5)(10)	ln(10)/ln(5)	Evaluate log base 5 of 10
4(−2)=1/16	see full solution →	Convert to Logarithmic Form 4^-2=1/16
3(−3)=1/27	see full solution →	Convert to Logarithmic Form 3^-3=1/27
(−3)(−1)	−1/3	Evaluate (-3)^-1
64(3/2)	512	Evaluate 64^(3/2)
6/3	2	Evaluate 6/3
6/8	3/4	Evaluate 6/8
−6	−1	Evaluate -6^0
9⋅7	63	Evaluate 9*7
(3*x+2)2	9x2+12x+4	Expand Using the Binomial Theorem (3x+2)^2
3/5	60*%	Convert to a Percentage 3/5
(−20+√(,−50))/60	−1/3+(i√(,2))/12	Simplify (-20+ square root of -50)/60
a=1/2bh	(2*a)/h	Solve for a a=1/2bh
3*x	3*x	Simplify 3x
i4⋅2	2	Simplify i^4*2
√(,7x)(√(,x)−7√(,7))	x√(,7)−49√(,x)	Simplify
x2−6*x+13=0	0⇒x=3±2*i	Solve Using the Quadratic Formula x^2-6x+13=0
x2−11*x+28=0	7, 4$	Solve Using the Quadratic Formula x^2-11x+28=0
49*x2−36	(7x−6)(7*x+6)	Factor 49x^2-36
x2−169	(x−13)*(x+13)	Factor x^2-169
x2+3*x+9	is irreducible over the real numbers	Factor x^2+3x+9
x2+13*x+30	(x+3)*(x+10)	Factor x^2+13x+30
x3−36*x	x(x−6)(x+6)	Factor x^3-36x
2x2+3x−20	(2x−5)(x+4)	Factor 2x^2+3x-20
3x2−8x−3	(3x+1)(x−3)	Factor 3x^2-8x-3
4x2+12x+5	(2x+5)(2*x+1)	Factor 4x^2+12x+5
√(3,x2)	x2/3	Write with Rational (Fractional) Exponents cube root of x^2
16(5/2)	1024	Evaluate 16^(5/2)
9⋅4	36	Evaluate 9*4
√(,−225)	15*i	Evaluate square root of -225
√(,130)	√(,130)≈11.40175	Evaluate square root of 130
(x2)/9+(y2)/4=1	see full solution →	Graph (x^2)/9+(y^2)/4=1
ƒ(x)=0	0	Graph f(x)=0
ƒ(x)=4*x	4*x	Graph f(x)=4x
y=−1/2*x+3	−1/2*x+3	Graph y=-1/2x+3
y=x2+6*x+5	x2+6*x+5	Graph y=x^2+6x+5
9x2+4y2=36	1	Graph 9x^2+4y^2=36
y=1/2*x−1	1/2*x−1	Graph y=1/2x-1
y=1/4*x	1/4*x	Graph y=1/4x
y=−6*x+3	−6*x+3	Graph y=-6x+3
(−8+√(,−12))/40	−1/5+√(,3)/20*i	Simplify (-8+ square root of -12)/40
√(,15)	√(,15)	Simplify square root of 15
√(,125*x2)	5	x
(√(,3+x))2	3+x	Simplify ( square root of 3+x)^2
x2+1=0	±i	Solve Using the Quadratic Formula x^2+1=0
x2−3*x−2=0	(3±√(,17))/2	Solve Using the Quadratic Formula x^2-3x-2=0
x2−2*x=35	7, -5$	Solve Using the Quadratic Formula x^2-2x=35
x+2*y=4	x-intercept: (4,0), y-intercept: (0,2)	Find the x and y Intercepts x+2y=4
x2−9*x−10	(x−10)*(x+1)	Factor x^2-9x-10
x6−y6	(x−y)(x+y)(x2+xy+y2)(x2−x*y+y2)	Factor x^6-y^6
x2+14*x+40	(x+4)*(x+10)	Factor x^2+14x+40
x2+4*x+5	(x+2−i)*(x+2+i)	Factor x^2+4x+5
12x2−5x−2	(4x+1)(3*x−2)	Factor 12x^2-5x-2
8x2+2x−3	(2x−1)(4*x+3)	Factor 8x^2+2x-3
(log_8)(4)	2/3	Evaluate log base 8 of 4
(log_)(3)	(log_)(3)≈0.4771	Evaluate log of 3
(log_3)(1/3)	−1	Evaluate log base 3 of 1/3
4/9	0.*(4)	Evaluate 4/9
(−32)(3/5)	−8	Evaluate (-32)^(3/5)
(−8)(4/3)	16	Evaluate (-8)^(4/3)
(−8)(−2)	1/64	Evaluate (-8)^-2
−1/2	−0.5	Evaluate -1/2
e6	e6≈403.428793	Evaluate e^6
6/2*(1+2)	9	Evaluate 6/2(1+2)
√(3,1/8)	1/2	Evaluate cube root of 1/8
√(,1/3)	√(,3)/3	Evaluate square root of 1/3
√(3,5)	√(3,5)≈1.709976	Evaluate cube root of 5
4(−2)	1/16	Evaluate 4^-2
y=1/2*x−3	1/2*x−3	Graph y=1/2x-3
√(3,27)	3	Simplify cube root of 27
i3⋅2	−2*i	Simplify i^3*2
x2−3*x+4=0	(3±i√(,7))/2	Solve Using the Quadratic Formula x^2-3x+4=0
x2+8*x+5=0	−4±√(,11)	Solve Using the Quadratic Formula x^2+8x+5=0
x2+2*x=3	1, -3$	Solve Using the Quadratic Formula x^2+2x=3
x2+36=0	±6*i	Solve Using the Quadratic Formula x^2+36=0
3x2+2x−1=0	1/3,−1	Solve Using the Quadratic Formula 3x^2+2x-1=0
7a2+53a+28	(7a+4)(a+7)	Factor 7a^2+53a+28
y2−1	(y−1)*(y+1)	Factor y^2-1
x2+81	(x+9i)(x−9*i)	Factor x^2+81
x2+9*x	x*(x+9)	Factor x^2+9x
4(−3)=1/64	see full solution →	Convert to Logarithmic Form 4^-3=1/64
7=343	343⇔(log_7)(343)=3	Convert to Logarithmic Form 7^3=343
x2+y2=49	Center: (0,0), Radius: 7	Find the Center and Radius x^2+y^2=49
2/2	1	Evaluate 2/2
√(,6)⋅√(,2)	2√(,3)	Evaluate square root of 6* square root of 2
6/2	3	Evaluate 6/2
√(,39)	√(,39)≈6.244997998	Evaluate square root of 39
ƒ(x)=(x−1)2	(x−1)2	Graph f(x)=(x-1)^2
x2=75	±5√(,3)	Solve Using the Square Root Property x^2=75
1/3	33.(3)%	Convert to a Percentage 1/3
ƒ(x)=1/(x2)	1/(x2)	Graph 1/(x^2)
x2−14*x+…	(x−7)2	Complete the Square x^2-14x+
x2+8*x−30	(x+4)2−46	Complete the Square x^2+8x-30
p=2l+2w	2l+2w	Solve for p p=2l+2w
x+2*y=4	4 - 2y$	Solve for x x+2y=4
(x+4)3	x3+12x2+48x+64	Simplify (x+4)^3
√(,x10)	$	x
√(4,32)	2√(4,2)	Simplify fourth root of 32
3x2−5x−2=0	2,−1/3	Solve Using the Quadratic Formula 3x^2-5x-2=0
x2+4*x+13=0	−2±3*i	Solve Using the Quadratic Formula x^2+4x+13=0
x2+4*x−9=0	−2±√(,13)	Solve Using the Quadratic Formula x^2+4x-9=0
x2+6*x+25=0	−3±4*i	Solve Using the Quadratic Formula x^2+6x+25=0
x2+8*x+20=0	−4±2*i	Solve Using the Quadratic Formula x^2+8x+20=0
x2+81=0	±9*i	Solve Using the Quadratic Formula x^2+81=0
x2−3=0	±√(,3)	Solve Using the Quadratic Formula x^2-3=0
x2−6*x+25=0	3±4*i	Solve Using the Quadratic Formula x^2-6x+25=0
x2−4*y2	(x−2y)(x+2*y)	Factor x^2-4y^2
x2+16*x	x*(x+16)	Factor x^2+16x
10x2−11x−6	(5x+2)(2*x−3)	Factor 10x^2-11x-6
3x2−13x−10	(3x+2)(x−5)	Factor 3x^2-13x-10
15x2+7x−2	(5x−1)(3*x+2)	Factor 15x^2+7x-2
x+3	x+3	Factor x+3
5x2−17x+6	(5x−2)(x−3)	Factor 5x^2-17x+6
ƒ(x)=2*x−1	(x+1)/2	Find the Inverse f(x)=2x-1
(log_9)(27)	3/2	Evaluate log base 9 of 27
2/6	1/3	Evaluate 2/6
(1/2)4	1/16	Evaluate (1/2)^4
6	1	Evaluate 6^0
7⋅4	28	Evaluate 7*4
−√(,−144)	−12*i	Evaluate - square root of -144
(x+y)6	x6+6x5y+15x4y2+20x3y3+15x2y4+6xy5+y6	Expand Using the Binomial Theorem (x+y)^6
(x−4)3	x3−12x2+48x−64	Expand Using the Binomial Theorem (x-4)^3
y=−5*x2	−5*x2	Graph y=-5x^2
5*x+y=10	−5*x+10	Graph 5x+y=10
y=−x+7	−x+7	Graph y=-x+7
ƒ(x)=−x2+3	—	Graph f(x)=-x^2+3
y=x2−4*x+3	x2−4*x+3	Graph y=x^2-4x+3
y=x+6	x+6	Graph y=x+6
ƒ(x)=x2+2*x−3	(x+1)2−4	Graph f(x)=x^2+2x-3
ƒ(x)=(x+4)2	see full solution →	Graph f(x)=(x+4)^2
y=x3+2	x3+2	Graph y=x^3+2
(ca)/b=(ƒd)/e	(ƒd)/e⇒b=(cae)/(ƒd)	Solve for b (ca)/b=(fd)/e
i46	−1	Simplify i^46
x2+4*x+1=0	−2±√(,3)	Solve by Completing the Square x^2+4x+1=0
x4−16=0	2, -2, 2i, -2i$	Solve by Factoring x^4-16=0
8*x3−27=0	3/2,(−3±3*i√(,3))/4	Solve by Factoring 8x^3-27=0
x2+x−20=0	4, -5$	Solve Using the Quadratic Formula x^2+x-20=0
√(,112)	4√(,7)	Calculate the Square Root square root of 112
5x2−13x+6	(5x−3)(x−2)	Factor 5x^2-13x+6
49x2+14x+1	(7*x+1)2	Factor 49x^2+14x+1
x−2	(√(,x)−√(,2))*(√(,x)+√(,2))	Factor x-2
81*x2−16	(9x−4)(9*x+4)	Factor 81x^2-16
3x2−2x−1	(3x+1)(x−1)	Factor 3x^2-2x-1
(−36)(1/2)	6*i	Evaluate (-36)^(1/2)
(−4)4	256	Evaluate (-4)^4
36(−1/2)	1/6	Evaluate 36^(-1/2)
9(−1/2)	1/3	Evaluate 9^(-1/2)
√(,x)	Domain: [0,∞), Range: [0,∞)	Find the Domain and Range square root of x
y≤5	y≤5	Graph y<=5
y=1/2*x+4	1/2*x+4	Graph y=1/2x+4
2=8	3	Solve for x 2^x=8
7(5x+9)=18−(x+9)	−3/2	Solve for x 7(5x+9)=18-(x+9)
x2−5*x+6=0	0⇒x=2,3	Solve by Factoring x^2-5x+6=0
16x2+2x−3=0	3/8,−1/2	Solve by Factoring 16x^2+2x-3=0
x2+11*x+24=0	−3,−8	Solve Using the Quadratic Formula x^2+11x+24=0
x2−13*x+40=0	8, 5$	Solve Using the Quadratic Formula x^2-13x+40=0
x2−x=30	6, -5$	Solve Using the Quadratic Formula x^2-x=30
x2−8*x=20	10, -2$	Solve Using the Quadratic Formula x^2-8x=20
x2−6*x−2=0	3±√(,11)	Solve Using the Quadratic Formula x^2-6x-2=0
2x2−3x+6=0	(3±i√(,39))/4	Solve Using the Quadratic Formula 2x^2-3x+6=0
2x2+3x−2=0	1/2,−2	Solve Using the Quadratic Formula 2x^2+3x-2=0
x−2*y=4	x-intercept: (4,0), y-intercept: (0,−2)	Find the x and y Intercepts x-2y=4
x−y=3	x-intercept: (3,0), y-intercept: (0,−3)	Find the x and y Intercepts x-y=3
y=3*x	x-intercept: (0,0), y-intercept: (0,0)	Find the x and y Intercepts y=3x
3x2+6x	3x(x+2)	Factor 3x^2+6x
2x2−9x+4	(2x−1)(x−4)	Factor 2x^2-9x+4
2*x4−32	2(x−2)(x+2)*(x2+4)	Factor 2x^4-32
x2+2*x+2	(x+1−i)*(x+1+i)	Factor x^2+2x+2
n2+6*n+8	(n+2)*(n+4)	Factor n^2+6n+8
5x2−7x−6	(5x+3)(x−2)	Factor 5x^2-7x-6
ƒ(x)=2*x−4	(x+4)/2	Find the Inverse f(x)=2x-4
(log_2)(1/32)	−5	Evaluate log base 2 of 1/32
16(−1/2)	1/4	Evaluate 16^(-1/2)
(−7)(−1)	−1/7	Evaluate (-7)^-1
(1/2)(−3)	8	Evaluate (1/2)^-3
√(,5)⋅√(,10)	5√(,2)	Evaluate square root of 5* square root of 10
√(,5)⋅√(,5)	5	Evaluate square root of 5* square root of 5
5/7	5/7	Evaluate 5/7
6⋅7	42	Evaluate 6*7
2(−3)	1/8	Evaluate 2^-3
√(,−196)	14*i	Evaluate square root of -196
y=3*x2	(0,0)	Find the Vertex y=3x^2
x2=98	±7√(,2)	Solve Using the Square Root Property x^2=98
5/8	62.5*%	Convert to a Percentage 5/8
y=4	(0,4)	Find the y-intercept y=4
12	±1,±2,±3,±4,±6,±12	Find the Possible Factors 12
a+5=−5*a+5	0	Solve for a a+5=-5a+5
√(,8−2*x)=x	x⇒x=2	Solve for x square root of 8-2x=x
x(−4)	1/(x4)	Simplify x^-4
(√(,6+x))2	6+x	Simplify ( square root of 6+x)^2
√(,60)	2√(,15)	Simplify square root of 60
(a3−a+6)÷(a+2)	a2−2*a+3	Divide Using Synthetic Division (6+a^3-a)÷(a+2)
2x2−3x−2=0	2,−1/2	Solve Using the Quadratic Formula 2x^2-3x-2=0
2x2−5x+3=0	3/2,1	Solve Using the Quadratic Formula 2x^2-5x+3=0
2x2+7x−4=0	1/2,−4	Solve Using the Quadratic Formula 2x^2+7x-4=0
x2−7=0	±√(,7)	Solve Using the Quadratic Formula x^2-7=0
x2−5*x+2=0	(5±√(,17))/2	Solve Using the Quadratic Formula x^2-5x+2=0
x2−3*x−7=0	(3±√(,37))/2	Solve Using the Quadratic Formula x^2-3x-7=0
x2+4*x−1=0	−2±√(,5)	Solve Using the Quadratic Formula x^2+4x-1=0
√(,576)	24	Calculate the Square Root square root of 576
9*x2−9	9(x - 1)(x + 1)$	Factor 9x^2-9
125*x3+64	(5x+4)(25x2−20x+16)	Factor 125x^3+64
25x2−10x+1	(5*x−1)2	Factor 25x^2-10x+1
3*x2+x−4	(3x+4)(x−1)	Factor 3x^2+x-4
3x2−7x+2	(3x−1)(x−2)	Factor 3x^2-7x+2
4x2+28x+49	(2*x+7)2	Factor 4x^2+28x+49
ln(1)	0	Expand the Logarithmic Expression natural log of 1
(1/81)1/4	1/3	Evaluate (1/81)^(1/4)
(4/5)(−3)	125/64	Evaluate (4/5)^-3
10	10,000,000	Evaluate 10^7
10(−7)	0.0000001	Evaluate 10^-7
10(−8)	0.00000001	Evaluate 10^-8
49	7	Find the Prime Factorization 49
5/12	0.41*6	Evaluate 5/12
√(,9/25)	3/5	Evaluate square root of 9/25
x+y≤2,x≥1	x+y≤2∩x≥1	Graph x+y<=2 and x>=1
y=x3+1	x3+1	Graph y=x^3+1
ƒ(x)=x2+4*x−5	(x+2)2−9	Graph f(x)=x^2+4x-5
(x+2)*(x+4)	x2+6*x+8	Simplify (x+2)(x+4)
i4⋅9	9	Simplify i^4*9
(3*x2)3	27*x6	Simplify (3x^2)^3
x2=12	±2√(,3)	Solve for x x^2=12
(	x	> 5 )
√(3,x3)	x	Simplify cube root of x^3
x2+5*x+6=0	−2,−3	Solve by Factoring x^2+5x+6=0
4x2+9x+3=0	(−9±√(,33))/8	Solve Using the Quadratic Formula 4x^2+9x+3=0
x2+x+2=0	(−1±i√(,7))/2	Solve Using the Quadratic Formula x^2+x+2=0
x2−4*x−7=0	2±√(,11)	Solve Using the Quadratic Formula x^2-4x-7=0
x2−2*x−48=0	8, -6$	Solve Using the Quadratic Formula x^2-2x-48=0
2x2+3x+6=0	(−3±i√(,39))/4	Solve Using the Quadratic Formula 2x^2+3x+6=0
y=2*x+4	x-intercept: (−2,0), y-intercept: (0,4)	Find the x and y Intercepts y=2x+4
3*x2−x−10	(3x+5)(x−2)	Factor 3x^2-x-10
27x3+8y3	(3x+2y)(9x2−6xy+4*y2)	Factor 27x^3+8y^3
2*x2−x−10	(x+2)(2x−5)	Factor 2x^2-x-10
2x2+13x+6	(2x+1)(x+6)	Factor 2x^2+13x+6
125*x3−64	(5x−4)(25x2+20x+16)	Factor 125x^3-64
x2−9*y2	(x−3y)(x+3*y)	Factor x^2-9y^2
5n2+19n+12	(5n+4)(n+3)	Factor 5n^2+19n+12
8=64	64⇔(log_8)(64)=2	Convert to Logarithmic Form 8^2=64
(log_)(6)	(log_)(6)≈0.7782	Evaluate log of 6
9⋅3	27	Evaluate 9*3
3/2	1.5	Convert to a Decimal 3/2
ƒ(x)=x2+3	see full solution →	Find the Domain and Range f(x)=x^2+3
(a−b)2	a2−2ab+b2	Expand Using the Binomial Theorem (a-b)^2
(2*x+5)2	4x2+20x+25	Expand Using the Binomial Theorem (2x+5)^2
(3*x−7)2	9x2−42x+49	Expand Using the Binomial Theorem (3x-7)^2
y=x2−10	x2−10	Graph y=x^2-10
y=x3−2	x3−2	Graph y=x^3-2
x2+2*x+…	(x+1)2	Complete the Square x^2+2x+
5n+34=−2(1−7*n)	4	Solve for n 5n+34=-2(1-7n)
−(7−4*x)=9	9⇒x=4	Solve for x -(7-4x)=9
x4−4*x2+3=0	±1,±√(,3)	Solve for x x^4-4x^2+3=0
(x2)0	1	Simplify (x^2)^0
(√(,2+x))2	2+x	Simplify ( square root of 2+x)^2
√(,64*x2)	8	x
x2−3*x−10=0	0⇒x=5,−2	Solve by Factoring x^2-3x-10=0
x2−4*x=0	0⇒x=0,4	Solve by Factoring x^2-4x=0
4*x+y=8	x-intercept: (2,0), y-intercept: (0,8)	Find the x and y Intercepts 4x+y=8
x2−x=6	3, -2$	Solve Using the Quadratic Formula x^2-x=6
x2+x−3=0	(−1±√(,13))/2	Solve Using the Quadratic Formula x^2+x-3=0
x2+6*x=7	1, -7$	Solve Using the Quadratic Formula x^2+6x=7
√(,162)	9√(,2)	Calculate the Square Root square root of 162
√(,74)	√(,74)	Calculate the Square Root square root of 74
x3+3*x2−x−3	(x−1)(x+1)(x+3)	Factor x^3+3x^2-x-3
x2−2*x+3	(x−(1+i√(,2)))*(x−(1−i√(,2)))	Factor x^2-2x+3
x2−12*x−28	(x+2)*(x−14)	Factor x^2-12x-28
1−xy−20x2*y2	(1−5xy)(1+4x*y)	Factor 1-xy-20x^2y^2
i5⋅3	3*i	Simplify i^5*3
e(−2*ln(5))	1/25	Evaluate e^(-2 natural log of 5)
3	19683	Evaluate 3^9
27(−1/3)	1/3	Evaluate 27^(-1/3)
ƒ(x)=x2+4	see full solution →	Find the Domain and Range x^2+4
y=x2+6*x−7	x2+6*x−7=(−3,−16)	Find the Vertex y=x^2+6x-7
√(,4/25)	2/5	Evaluate square root of 4/25
√(,1/25)	1/5	Evaluate square root of 1/25
√(,−14)	i√(,14)	Evaluate square root of -14
√(,576)	24	Evaluate square root of 576
−x2+1	—	Graph -x^2+1
ƒ(x)=2*x−3	2*x−3	Graph f(x)=2x-3
x2=−49	±7*i	Solve Using the Square Root Property x^2=-49
3*x2=48	±4	Solve Using the Square Root Property 3x^2=48
ƒ(x)=−x2+2	−x2+2	Graph f(x)=-x^2+2
(2*x+5)2	4x2+20x+25	Simplify (2x+5)^2
3=9	2	Solve for x 3^x=9
d=r*t	d/r	Solve for t d=rt
a=P+Prt	a/(1+r*t)	Solve for P a=P+Prt
−6+x/4=−5	−5⇒x=4	Solve for x -6+x/4=-5
10+a=9	−1	Solve for a 10+a=9
(x+3)*(x+5)	x2+8*x+15	Simplify (x+3)(x+5)
x(1/2)	√(,x)	Simplify x^(1/2)
x(5/2)=32	4	Solve by Factoring x^(5/2)=32
x2+6*x+8=0	{−4,−2}	Solve by Completing the Square x^2+6x+8=0
x2+2*x=0	0, -2$	Solve Using the Quadratic Formula x^2+2x=0
x2+2*x+10=0	−1±3*i	Solve Using the Quadratic Formula x^2+2x+10=0
x2+x−5=0	(−1±√(,21))/2	Solve Using the Quadratic Formula x^2+x-5=0
2x2+9x−5=0	1/2,−5	Solve Using the Quadratic Formula 2x^2+9x-5=0
y=x2−1	see full solution →	Find the x and y Intercepts y=x^2-1
2*x2−98	2(x - 7)(x + 7)$	Factor 2x^2-98
2x3+4x2+8*x	2x(x2+2*x+4)	Factor 2x^3+4x^2+8x
27x3−8y3	(3x−2y)(9x2+6xy+4*y2)	Factor 27x^3-8y^3
2*x−1	2*x−1	Factor 2x-1
3x2−4x+1	(3x−1)(x−1)	Factor 3x^2-4x+1
x2−10xy+24*y2	(x−4y)(x−6*y)	Factor x^2-10xy+24y^2
6*x2−x−12	(3x+4)(2*x−3)	Factor 6x^2-x-12
8x2−10x−3	(4x+1)(2*x−3)	Factor 8x^2-10x-3
8*x2−18	2(2x - 3)(2x + 3)$	Factor 8x^2-18
(log_2)(3)	(log_2)(3)≈1.584963	Evaluate log base 2 of 3
1000(2/3)	100	Evaluate 1000^(2/3)
(−1)(3/4)	−√(,2)/2+√(,2)/2*i	Evaluate (-1)^(3/4)
(−81)(3/4)	−(27√(,2))/2+(27*i√(,2))/2	Evaluate (-81)^(3/4)
(−5)(−1)	−1/5	Evaluate (-5)^-1
(1/3)3	1/27	Evaluate (1/3)^3
84	2×3×7	Find the Prime Factorization 84
6/4	1.5	Evaluate 6/4
7/10	0.7	Evaluate 7/10
√(,89)	√(,89)≈9.43398	Evaluate square root of 89
√(,11/2)	√(,22)/2	Evaluate square root of 11/2
√(,9/4)	3/2	Evaluate square root of 9/4
√(3,625)	5√(3,5)	Evaluate cube root of 625
√(3,6)	√(3,6)≈1.81712	Evaluate cube root of 6
3√(,5)	3√(,5)≈6.708	Evaluate 3 square root of 5
y=1/4*x2	(0,0)	Find the Vertex y=1/4x^2
ƒ(x)=(x+2)2	(x+2)2	Graph f(x)=(x+2)^2
3*x2=27	±3	Solve Using the Square Root Property 3x^2=27
x2=−81	±9*i	Solve Using the Square Root Property x^2=-81
i3⋅4	−4*i	Simplify i^3*4
ƒ(x)=(log_2)(x)	(log_2)(x)	Graph f(x) = log base 2 of x
x2−4*x+…	(x−2)2	Complete the Square x^2-4x+
x2−16=0	±4	Solve for x x^2-16=0
F=9/5*C+32	9/5*C+32	Solve for F F=9/5C+32
p=2l+2w	2l+2w	Solve for p p=2l+2W
(x+2)*(x+2)	x2+4*x+4	Simplify (x+2)(x+2)
(x−7)*(x+7)	x2−49	Simplify (x-7)(x+7)
i49	i	Simplify i^49
3/(2x−1)−5/(2x−1)	−2/(2*x−1)	Simplify 3/(2x-1)-5/(2x-1)
√(,−121)	11*i	Simplify square root of -121
√(4,243)	3√(4,3)	Simplify fourth root of 243
x2−18*x−4=0	9±√(,85)	Solve by Completing the Square x^2-18x-4=0
x2+x−30=0	5, -6$	Solve Using the Quadratic Formula x^2+x-30=0
x2+7*x−8=0	1, -8$	Solve Using the Quadratic Formula x^2+7x-8=0
x2+2*x=15	3, -5$	Solve Using the Quadratic Formula x^2+2x=15
x2−x=0	0, 1$	Solve Using the Quadratic Formula x^2-x=0
x2−8=0	±2√(,2)	Solve Using the Quadratic Formula x^2-8=0
x2−4*x−1=0	2±√(,5)	Solve Using the Quadratic Formula x^2-4x-1=0
x2−3*x=40	8, -5$	Solve Using the Quadratic Formula x^2-3x=40
√(,42)	√(,42)	Calculate the Square Root square root of 42
√(,33)	√(,33)≈5.74456	Calculate the Square Root square root of 33
4x2−5x−2=0	(5±√(,57))/8	Solve Using the Quadratic Formula 4x^2-5x-2=0
8x2+18x+9	(2x+3)(4*x+3)	Factor 8x^2+18x+9
9x2−42x+49	(3*x−7)2	Factor 9x^2-42x+49
9k2+66k+21	3(3k+1)*(k+7)	Factor 9k^2+66k+21
9*y2−25	(3y−5)(3*y+5)	Factor 9y^2-25
64*x2−49	(8x−7)(8*x+7)	Factor 64x^2-49
x2+100	(x+10i)(x−10*i)	Factor x^2+100
3x2−12x	3x(x−4)	Factor 3x^2-12x
25x2+30x+9	(5*x+3)2	Factor 25x^2+30x+9
3=27	27⇔(log_3)(27)=3	Convert to Logarithmic Form 3^3=27
0.8	4/5	Convert to a Simplified Fraction 0.8
16/3	51/3	Evaluate 16/3
13/2	6.5	Evaluate 13/2
2/9	0.*2	Evaluate 2/9
4/7	0.*(571428)	Evaluate 4/7
81(3/2)	729	Evaluate 81^(3/2)
9!	362880	Evaluate 9!
(a+b)3	a3+3a2b+3ab2+b3	Expand Using the Binomial Theorem (a+b)^3
3√(,27)	9√(,3)	Evaluate 3 square root of 27
√(4,4)	√(,2)	Evaluate fourth root of 4
√(,15/2)	√(,30)/2	Evaluate square root of 15/2
√(,−112)	4*i√(,7)	Evaluate square root of -112
√(,5)/√(,2)	√(,10)/2	Evaluate ( square root of 5)/( square root of 2)
y=−3*x+7	−3*x+7	Graph y=-3x+7
y=3	3	Find the y-intercept y=3
Q=(i2Rt)/j	(Qj)/(i2t)	Solve for R Q=(i^2Rt)/j
a=pe(rt)	a/(e(r*t))	Solve for p a=pe^(rt)
−18−6k=6(1+3*k)	6(1+3k)⇒k=−1	Solve for k -18-6k=6(1+3k)
x4−17*x2+16=0	{−4,−1,1,4}	Solve for x x^4-17x^2+16=0
x2=81	±9	Solve for x x^2=81
(x+9)*(x−9)	x2−81	Simplify (x+9)(x-9)
(x2)2	x4	Simplify (x^2)^2
(2x+3)(2*x−3)	4*x2−9	Simplify (2x+3)(2x-3)
i50	−1	Simplify i^50
x2−36=0	±6	Solve for x x^2-36=0
√(,x2+4)	√(,x2+4)	Simplify square root of x^2+4
√(,36*g6)	6*g3	Simplify square root of 36g^6
√(3,y3)	y	Simplify cube root of y^3
(3*x+2)2	9x2+12x+4	Simplify (3x+2)^2
1/√(,3)	√(,3)/3	Simplify 1/( square root of 3)
x2+6*x+2=0	−3±√(,7)	Solve by Completing the Square x^2+6x+2=0
2*x−y=4	x-intercept: (2,0), y-intercept: (0,−4)	Find the x and y Intercepts 2x-y=4
4x2+5x−2=0	(−5±√(,57))/8	Solve Using the Quadratic Formula 4x^2+5x-2=0
x2−3*x=28	7, -4$	Solve Using the Quadratic Formula x^2-3x=28
x2−6*x+3=0	3±√(,6)	Solve Using the Quadratic Formula x^2-6x+3=0
x2+4*x=5	1, -5$	Solve Using the Quadratic Formula x^2+4x=5
2*x2+x−6=0	3/2,−2	Solve Using the Quadratic Formula 2x^2+x-6=0
16x2−8x+1=0	1/4	Solve Using the Quadratic Formula 16x^2-8x+1=0
y=x2−4*x−5	see full solution →	Find the x and y Intercepts y=x^2-4x-5
x+3*y=6	x-intercept: (6,0), y-intercept: (0,2)	Find the x and y Intercepts x+3y=6
2*x2−2	2(x - 1)(x + 1)$	Factor 2x^2-2
2n2+5n+2	(2n+1)(n+2)	Factor 2n^2+5n+2
27x3+64y3	(3x+4y)(9x2−12xy+16*y2)	Factor 27x^3+64y^3
x2−5*x−50	(x+5)*(x−10)	Factor x^2-5x-50
x3+4x2−9x−36	(x−3)(x+3)(x+4)	Factor x^3+4x^2-9x-36
y2−10*y+25	(y−5)2	Factor y^2-10y+25
y2−5*y+6	(y−2)*(y−3)	Factor y^2-5y+6
6*x2−x−1	(3x+1)(2*x−1)	Factor 6x^2-x-1
5x2−7x+2	(5x−2)(x−1)	Factor 5x^2-7x+2
x2+36	(x+6i)(x−6*i)	Factor x^2+36
4x2−12xy+9y2	(2x−3y)2	Factor 4x^2-12xy+9y^2
4*x2−64	4(x - 4)(x + 4)$	Factor 4x^2-64
8x2+10x+3	(2x+1)(4*x+3)	Factor 8x^2+10x+3
(log_)(100000)	5	Evaluate log of 100000
1/7	0.*(142857)	Evaluate 1/7
21	3×7	Find the Prime Factorization 21
−2	−64	Evaluate -2^6
√(,3)⋅√(,3)	3	Evaluate square root of 3* square root of 3
√(,37)	√(,37)≈6.08276253	Evaluate square root of 37
√(,22)	√(,22)≈4.6904157598	Evaluate square root of 22
√(,252)	6√(,7)	Evaluate square root of 252
√(,1/36)	1/6	Evaluate square root of 1/36
1+1	2	Evaluate 1+1
√(5,−3125)	−5	Evaluate fifth root of -3125
y=x2+5	(0,5)	Find the Vertex y=x^2+5
ƒ(x)=(x−5)2	(x−5)2* is a parabola with vertex at *(5,0)	Graph f(x)=(x-5)^2
y=(x+2)2−3	—	Graph y=(x+2)^2-3
y=−1/2*x	−1/2*x	Graph y=-1/2x
y=tan(x)	tan(x)	Graph y=tan(x)
y=1/2*x−2	1/2*x−2	Graph y=1/2x-2
√(,100)	10	Simplify square root of 100
14=−(p−8)	−6	Solve for p 14=-(p-8)
(log_)(x)+(log_)(x−9)=1	1⇒x=10	Solve for x log of x+ log of x-9=1
x+y=8	8 - y$	Solve for x x+y=8
x(−1)	1/x	Simplify x^-1
√(3,8*x3)	2*x	Simplify cube root of 8x^3
(x2)/(x2−4)−(x+1)/(x+2)	1/(x−2)	Simplify (x^2)/(x^2-4)-(x+1)/(x+2)
x2+14*x+4=0	−7±3√(,5)	Solve by Completing the Square x^2+14x+4=0
x4−20*x2+64=0	{−4,−2,2,4}	Solve by Factoring x^4-20x^2+64=0
x4−4*x2+3=0	1,−1,√(,3),−√(,3)	Solve by Factoring x^4-4x^2+3=0
3*x2−27=0	3, -3$	Solve Using the Quadratic Formula 3x^2-27=0
x2+2*x−1=0	−1±√(,2)	Solve Using the Quadratic Formula x^2+2x-1=0
x2−18=0	±3√(,2)	Solve Using the Quadratic Formula x^2-18=0
√(,288)	12√(,2)	Calculate the Square Root square root of 288
5x2+7x−6	(5x−3)(x+2)	Factor 5x^2+7x-6
64*x2−81	(8x−9)(8*x+9)	Factor 64x^2-81
x2−14*x−32	(x−16)*(x+2)	Factor x^2-14x-32
x2+12*x+11	(x+1)*(x+11)	Factor x^2+12x+11
2x2−11x−21	(2x+3)(x−7)	Factor 2x^2-11x-21
(log_)(1/1000)	−3	Evaluate log of 1/1000
(log_625)(5)	1/4	Evaluate log base 625 of 5
5(−2)=1/25	see full solution →	Convert to Logarithmic Form 5^-2=1/25
2=16	16⇔(log_2)(16)=4	Convert to Logarithmic Form 2^4=16
(log_2)(16)	4	Expand the Logarithmic Expression log base 2 of 16
(−9)(−1)	−1/9	Evaluate (-9)^-1
(5/2)2	25/4	Evaluate (5/2)^2
30	900	Evaluate 30^2
7⋅6	42	Evaluate 7*6
(x−2)4	x4−8x3+24x2−32*x+16	Expand Using the Binomial Theorem (x-2)^4
√(,−100)	10*i	Evaluate - square root of -100
(√(,5)−√(,7))2	12−2√(,35)	Evaluate ( square root of 5- square root of 7)^2
y=−8	−8	Graph y=-8
y=x2−2*x−8	see full solution →	Graph y=x^2-2x-8
5*x2=80	±4	Solve Using the Square Root Property 5x^2=80
x2−8*x+…	(x−4)2	Complete the Square x^2-8x+
(x−9)2	x2−18*x+81	Simplify (x-9)^2
5(2*x)=20	ln(20)/(2*ln(5))	Solve for x 5^(2x)=20
5=125	125⇒x=3	Solve for x 5^x=125
x+y=7	7 - y$	Solve for x x+y=7
(x+2)*(x−3)	x2−x−6	Simplify (x+2)(x-3)
i48	1	Simplify i^48
(4xy)(−1)	1/(4xy)	Simplify (4xy)^-1
x3−8	(x−2)(x2+2x+4)	Simplify x^3-8
√(,300)	10√(,3)	Simplify square root of 300
(2*x)4	16*x4	Simplify (2x)^4
i2⋅0	0	Simplify i^2*0
2y2+14y=−19	(−7±√(,11))/2	Solve by Completing the Square 2y^2+14y=-19
x2−18*x−4=0	9±√(,85)	Solve Using the Quadratic Formula x^2-18x-4=0
x2−x+6=0	(1±i√(,23))/2	Solve Using the Quadratic Formula x^2-x+6=0
x2+5*x−3=0	(−5±√(,37))/2	Solve Using the Quadratic Formula x^2+5x-3=0
x2−10*x+29=0	5±2*i	Solve Using the Quadratic Formula x^2-10x+29=0
x2+12*x+32=0	−4,−8	Solve Using the Quadratic Formula x^2+12x+32=0
2*x3+54	2(x+3)(x2−3*x+9)	Factor 2x^3+54
2x2−3x−9	(2x+3)(x−3)	Factor 2x^2-3x-9
49−x2	(7−x)*(7+x)	Factor 49-x^2
81x2+18x+1	(9*x+1)2	Factor 81x^2+18x+1
(log_8)(16)	4/3	Evaluate log base 8 of 16
−4(1/2)	−2	Evaluate -4^(1/2)
−4	−256	Evaluate -4^4
4	65536	Evaluate 4^8
2/√(,5)	(2√(,5))/5	Evaluate 2/( square root of 5)
√(3,24)⋅√(3,18)	6√(3,2)	Evaluate cube root of 24 cube root of 18
√(,7)√(,28)	14	Evaluate square root of 7 square root of 28
(x+2)4	x4+8x3+24x2+32*x+16	Expand Using the Binomial Theorem (x+2)^4
ƒ(x)=x2+6*x+5	(x+3)2−4	Graph f(x)=x^2+6x+5
x2−12*x+…	(x−6)2	Complete the Square x^2-12x+
3=5	ln(5)/ln(3)	Solve for x 3^x=5
V=lwh	V/(l*w)	Solve for h V=lwh
(m(1/4)n(1/2))2(m2*n3)(1/2)	m(3/2)*n(5/2)	Simplify (m^(1/4)n^(1/2))^2(m^2n^3)^(1/2)
4x2+20x+16	4(x + 1)(x + 4)$	Simplify 4x^2+20x+16
√(,7*x+1)−√(,x−5)=6	6⇒x=5,9	Solve for x
√(,(−5)2)	5	Simplify square root of (-5)^2
(x+4)2	x2+8*x+16	Multiply (x+4)^2
(√(,x)−√(,3))*(√(,x)+√(,3))	x−3	Multiply
√(3,125*x9)	5*x3	Simplify cube root of 125x^9
x2−2*x+10=0	1±3*i	Solve Using the Quadratic Formula x^2-2x+10=0
x2−4*x=12	6, -2$	Solve Using the Quadratic Formula x^2-4x=12
81*x4−1	(3x−1)(3x+1)(9*x2+1)	Factor 81x^4-1
9x2+48x+64	(3*x+8)2	Factor 9x^2+48x+64
49*x2−16	(7x−4)(7*x+4)	Factor 49x^2-16
5*x2−125	5(x - 5)(x + 5)$	Factor 5x^2-125
5n2+10n+20	5(n2+2n+4)	Factor 5n^2+10n+20
2x3+10x2+12*x	2x(x+2)*(x+3)	Factor 2x^3+10x^2+12x
x2+15*x+36	(x+3)*(x+12)	Factor x^2+15x+36
y2+14*y+49	(y+7)2	Factor y^2+14y+49
a3+b3	(a+b)(a2−ab+b2)	Factor a^3+b^3
ƒ(x)=3*x+1	(x−1)/3	Find the Inverse f(x)=3x+1
ln(4)	ln(4)≈1.386294	Evaluate natural log of 4
(−216)(−2/3)	1/36	Evaluate (-216)^(-2/3)
−5/2	−2.5	Evaluate -5/2
8/12	2/3	Evaluate 8/12
√(,8)+√(,18)	5√(,2)	Evaluate square root of 8+ square root of 18
2⋅1/2	1	Evaluate 2*1/2
35	5⋅7	Find the Prime Factorization 35
y=x2−6	(0,−6)	Find the Vertex y=x^2-6
(x+h)3	x3+3x2h+3xh2+h3	Expand Using the Binomial Theorem (x+h)^3
2√(,6)	2√(,6)	Evaluate 2 square root of 6
2√(,10)	2√(,10)≈6.324555	Evaluate 2 square root of 10
ƒ(x)=−3	−3	Graph f(x)=-3
y=4*x+7	4*x+7	Graph y=4x+7
5*x−y<4	y>5*x−4	Graph 5x-y<4
y=5	5	Find the y-intercept y=5
(log_5)(25)=2	2* is True	Determine if True log base 5 of 25=2
(log_2)(8)=3	3* is True	Determine if True log base 2 of 8=3
8=16	16⇒x=4/3	Solve for x 8^x=16
x/(3*x−6)+1/8	(11x−6)/(24(x−2))	Simplify x/(3x-6)+1/8
(√(,x)+√(,3))*(√(,x)−√(,3))	x−3	Multiply
x2−9=0	±3	Solve by Factoring x^2-9=0
x2−5*x=24	8, -3$	Solve Using the Quadratic Formula x^2-5x=24
x2+8*x+25=0	−4±3*i	Solve Using the Quadratic Formula x^2+8x+25=0
x2+6*x=16	2, -8$	Solve Using the Quadratic Formula x^2+6x=16
125*x3+8	(5x+2)(25x2−10x+4)	Factor 125x^3+8
2x2+8x+6	2(x+1)(x+3)	Factor 2x^2+8x+6
3x2−3x−18	3(x - 3)(x + 2)$	Factor 3x^2-3x-18
36x2−12x+1	(6*x−1)2	Factor 36x^2-12x+1
9x2−25y2	(3x−5y)(3x+5*y)	Factor 9x^2-25y^2
(−10)2	100	Evaluate (-10)^2
(1/4)(−2)	16	Evaluate (1/4)^-2
2(1/2)	√(,2)	Evaluate 2^(1/2)
125(4/3)	625	Evaluate 125^(4/3)
144(1/2)	12	Evaluate 144^(1/2)
6⋅8	48	Evaluate 6*8
5*x2=45	±3	Solve Using the Square Root Property 5x^2=45
√(,(−4)2)	4	Simplify square root of (-4)^2
y=x2+4*x+3	x2+4*x+3	Graph y=x^2+4x+3
y+1=0	−1	Graph y+1=0
ƒ(x)=x2+4*x+3	(x+2)2−1	Graph f(x)=x^2+4x+3
ƒ(x)=x2−8	x2−8	Graph f(x)=x^2-8
x2+4*x	(x+2)2	Find the Perfect Square Trinomial x^2+4x
(log_x)(81)=4	4⇒x=3	Solve for x log base x of 81=4
ln(x)=7	7⇒x=e7	Solve for x natural log of x=7
(x+5)*(x−3)	x2+2*x−15	Simplify (x+5)(x-3)
(x2*y(−1))2	(x4)/(y2)	Simplify (x^2y^-1)^2
(x2)/x	x	Simplify (x^2)/x
1/x	1/x	Simplify 1/x
√(,36/49)	6/7	Simplify square root of 36/49
√(,4*x+1)−√(,x−2)=3	3⇒x=2,6	Solve for x
(x+2)2	x2+4*x+4	Multiply (x+2)^2
x3+8=0	−2,1+i√(,3),1−i√(,3)	Solve by Factoring x^3+8=0
x2+4*x+2=0	−2±√(,2)	Solve by Completing the Square x^2+4x+2=0
√(,61)	√(,61)	Calculate the Square Root square root of 61
x2+5*x+5=0	(−5±√(,5))/2	Solve Using the Quadratic Formula x^2+5x+5=0
x2+2*x+3=0	−1±i√(,2)	Solve Using the Quadratic Formula x^2+2x+3=0
x2+8*x−20=0	2, -10$	Solve Using the Quadratic Formula x^2+8x-20=0
x2+8*x−9=0	1, -9$	Solve Using the Quadratic Formula x^2+8x-9=0
x2−6=0	±√(,6)	Solve Using the Quadratic Formula x^2-6=0
x2−x−56=0	8, -7$	Solve Using the Quadratic Formula x^2-x-56=0
3*x2−x−2=0	1,−2/3	Solve Using the Quadratic Formula 3x^2-x-2=0
y=x2+6*x+5	see full solution →	Find the x and y Intercepts y=x^2+6x+5
9x2−3x−2	(3x+1)(3*x−2)	Factor 9x^2-3x-2
7x2−9x+2	(7x−2)(x−1)	Factor 7x^2-9x+2
5x2+17x+6	(5x+2)(x+3)	Factor 5x^2+17x+6
4x2−9x+5	(4x−5)(x−1)	Factor 4x^2-9x+5
6x2+7x−49	(3x−7)(2*x+7)	Factor 6x^2+7x-49
3*x+12	3(x + 4)$	Factor 3x+12
2*x+5	2*x+5	Factor 2x+5
y3−27	(y−3)(y2+3y+9)	Factor y^3-27
x2+4*x−60	(x+10)*(x−6)	Factor x^2+4x-60
x3+2x2−5x−6	(x+1)(x+3)(x−2)	Factor x^3+2x^2-5x-6
x(1/3)	√(3,x)	Convert to Radical Form x^(1/3)
2(−4)=1/16	see full solution →	Convert to Logarithmic Form 2^-4=1/16
(−6)(−1)	−1/6	Evaluate (-6)^-1
0/2	0	Evaluate 0/2
√(,16/81)	4/9	Evaluate square root of 16/81
√(,16/49)	4/7	Evaluate square root of 16/49
√(,3/4)	√(,3)/2	Evaluate square root of 3/4
x−3=0	3	Graph x-3=0
x≥6	x≥6⇒[6,∞)	Graph x>=6
5x+3y=15	−5/3*x+5	Graph 5x+3y=15
x2−10*x	(x−5)2	Find the Perfect Square Trinomial x^2-10x
i=Prt	i/(P*r)	Solve for t i=Prt
−5(1−5x)+5(−8x−2)=−4x−8x	−4x−8x⇒x=−5	Solve for x -5(1-5x)+5(-8x-2)=-4x-8x
3(log_)(2x)=4	5√(3,10)	Solve for x 3 log of 2x=4
w=p*(y−z)	y−w/p	Solve for z w=p(y-z)
(x+4)*(x−2)	x2+2*x−8	Simplify (x+4)(x-2)
(3+2i)(3−2*i)	13	Simplify (3+2i)(3-2i)
i57	i	Simplify i^57
−i2	1	Simplify -i^2
5*x2	5*x2	Simplify 5x^2
Graph the line segment from (0,3) to *(−3,4)	−1/3x+3 for −3≤x≤0	Graph the Line Segment (0,3)-(-3,4)
Graph the line segment from (1,3) to *(3,4)	—	Graph the Line Segment (1,3)-(3,4)
√(4,x4)	$	x
x2+8*x−5=0	−4±√(,21)	Solve Using the Quadratic Formula x^2+8x-5=0
x2+8*x=0	0, -8$	Solve Using the Quadratic Formula x^2+8x=0
x2−12=0	±2√(,3)	Solve Using the Quadratic Formula x^2-12=0
x2+3*x−3=0	(−3±√(,21))/2	Solve Using the Quadratic Formula x^2+3x-3=0
√(,22)	√(,22)≈4.6904157598	Calculate the Square Root square root of 22
x2−16*x+48	(x−4)*(x−12)	Factor x^2-16x+48
a2+b2	(a+bi)(a−b*i)	Factor a^2+b^2
3*x+9	3(x + 3)$	Factor 3x+9
6x2−5x+1	(2x−1)(3*x−1)	Factor 6x^2-5x+1
5x3−45x	5x(x−3)*(x+3)	Factor 5x^3-45x
5x2+9x−2	(5x−1)(x+2)	Factor 5x^2+9x-2
7x2−45x−28	(7x+4)(x−7)	Factor 7x^2-45x-28
(1/2)(−3)=8	8⇔(log_1/2)(8)=−3	Convert to Logarithmic Form (1/2)^-3=8
(log_5)(125)	3	Expand the Logarithmic Expression log base 5 of 125
1/2⋅4	2	Evaluate 1/2*4
1/10	0.1	Evaluate 1/10
(1/125)2/3	1/25	Evaluate (1/125)^(2/3)
(1/5)2	1/25	Evaluate (1/5)^2
(2/5)(−3)	125/8	Evaluate (2/5)^-3
10!	3628800	Evaluate 10!
√(,3)⋅√(,12)	6	Evaluate square root of 3* square root of 12
7/5	1.4	Evaluate 7/5
4⋅8	32	Evaluate 4*8
√(,36/25)	6/5	Evaluate square root of 36/25
√(,14/3)	√(,42)/3	Evaluate square root of 14/3
√(,169)	13	Evaluate - square root of 169
√(,50)/√(,2)	5	Evaluate ( square root of 50)/( square root of 2)
(x−4)3	x3−12x2+48x−64	Simplify (x-4)^3
ƒ(x)=6	6	Graph f(x)=6^x
x2+6*x+…	(x+3)2	Complete the Square x^2+6x+
(log_)(x)+(log_)(x+21)=2	2⇒x=4	Solve for x log of x+ log of x+21=2
(x−6)*(x+6)	x2−36	Simplify (x-6)(x+6)
(x−2)*(x−2)	x2−4*x+4	Simplify (x-2)(x-2)
2*x⋅x	2*x2	Simplify 2x*x
√(,256)	16	Simplify square root of 256
(5m2+m)/(7m)	$\text{Domain: } {m	m \in \mathbb{R}, m \neq 0}$
2x+3y=6	6⇒y=−2/3*x+2	Write in Slope-Intercept Form 2x+3y=6
4*x2−1=0	±1/2	Solve Using the Quadratic Formula 4x^2-1=0
5*x2−x−4=0	1,−4/5	Solve Using the Quadratic Formula 5x^2-x-4=0
x2+4*x−10=0	−2±√(,14)	Solve Using the Quadratic Formula x^2+4x-10=0
x2−5*x=14	7, -2$	Solve Using the Quadratic Formula x^2-5x=14
x2−2*x−6=0	1±√(,7)	Solve Using the Quadratic Formula x^2-2x-6=0
2x2−4x−3=0	(2±√(,10))/2	Solve Using the Quadratic Formula 2x^2-4x-3=0
x+y=4	x-intercept: (4,0), y-intercept: (0,4)	Find the x and y Intercepts x+y=4
b2−4*b+4=0	2	Solve Using the Quadratic Formula b^2-4b+4=0
9*x2+25	(3x+5i)(3x−5*i)	Factor 9x^2+25
64*x2−9	(8x−3)(8*x+3)	Factor 64x^2-9
36x2+60x+25	(6*x+5)2	Factor 36x^2+60x+25
25x2+40x+16	(5*x+4)2	Factor 25x^2+40x+16
18*x2−2	2(3x - 1)(3x + 1)$	Factor 18x^2-2
x2+5	(x+i√(,5))*(x−i√(,5))	Factor x^2+5
x2+13*x+12	(x+1)*(x+12)	Factor x^2+13x+12
y2+10xy+25*x2	(y+5*x)2	Factor y^2+10xy+25x^2
y2−16	(y−4)*(y+4)	Factor y^2-16
ln(e6)	6	Evaluate natural log of e^6
1.5	2.25	Evaluate 1.5^2
4⋅7	28	Evaluate 4*7
729(1/3)	9	Evaluate 729^(1/3)
8(5/3)	32	Evaluate 8^(5/3)
12⋅3	36	Evaluate 12*3
9	3	Find the Prime Factorization 9
√(,5/2)	√(,10)/2	Evaluate square root of 5/2
√(5,1024)	4	Evaluate fifth root of 1024
(3*x+4)2	9x2+24x+16	Expand Using the Binomial Theorem (3x+4)^2
y=(x−1)2+2	(x−1)2+2	Graph y=(x-1)^2+2
2*x2=50	±5	Solve Using the Square Root Property 2x^2=50
x=−3	−3=None	Find the y-intercept x=-3
4=32	32⇒x=5/2	Solve for x 4^x=32
2*x−y=4	y/2+2	Solve for x 2x-y=4
9*x−7=−7	−7⇒x=0	Solve for x 9x-7=-7
√(,125)	5√(,5)	Simplify square root of 125
√(,36*x3)	6*x√(,x)	Simplify square root of 36x^3
√(,512*k2)	16	k
1/√(,2)	√(,2)/2	Simplify 1/( square root of 2)
3x+5y=15	x-intercept: (5,0), y-intercept: (0,3)	Find the x and y Intercepts 3x+5y=15
x(5/2)=243	9	Solve by Factoring x^(5/2)=243
2x2+9x+4=0	−1/2,−4	Solve Using the Quadratic Formula 2x^2+9x+4=0
16x2+2x−3=0	3/8,−1/2	Solve Using the Quadratic Formula 16x^2+2x-3=0
3x2−8x+4=0	2,2/3	Solve Using the Quadratic Formula 3x^2-8x+4=0
x2−4*x−3=0	2±√(,7)	Solve Using the Quadratic Formula x^2-4x-3=0
x2−3*x=18	6, -3$	Solve Using the Quadratic Formula x^2-3x=18
x2−3*x−3=0	(3±√(,21))/2	Solve Using the Quadratic Formula x^2-3x-3=0
x2+4*x=21	3, -7$	Solve Using the Quadratic Formula x^2+4x=21
x2+4*x+20=0	−2±4*i	Solve Using the Quadratic Formula x^2+4x+20=0
x2+11*x+28=0	−4,−7	Solve Using the Quadratic Formula x^2+11x+28=0
y3−125	(y−5)(y2+5y+25)	Factor y^3-125
y2−6*y+9	(y−3)2	Factor y^2-6y+9
y2−49	(y−7)*(y+7)	Factor y^2-49
y2−8*y+16	(y−4)2	Factor y^2-8y+16
x2+16*x+55	(x+5)*(x+11)	Factor x^2+16x+55
x2+2*x+24	is irreducible over the integers	Factor x^2+2x+24
x2+3*x+9/4	(x+3/2)2	Factor x^2+3x+9/4
x2+5*x+2	(x−(−5+√(,17))/2)*(x−(−5−√(,17))/2)	Factor x^2+5x+2
x2−8	(x−2√(,2))*(x+2√(,2))	Factor x^2-8
3*x+2	3*x+2	Factor 3x+2
4x2+11x+6	(4x+3)(x+2)	Factor 4x^2+11x+6
3x2−10x+7	(3x−7)(x−1)	Factor 3x^2-10x+7
3x2+8x−16	(3x−4)(x+4)	Factor 3x^2+8x-16
3x2−17x+10	(3x−2)(x−5)	Factor 3x^2-17x+10
8⋅7	56	Evaluate 8*7
4	2	Find the Prime Factorization 4
120	2⋅3⋅5	Find the Prime Factorization 120
512(1/3)	8	Evaluate 512^(1/3)
(x+h)2	x2+2xh+h2	Expand Using the Binomial Theorem (x+h)^2
(x−y)2	x2−2xy+y2	Expand Using the Binomial Theorem (x-y)^2
√(,4/49)	2/7	Evaluate square root of 4/49
√(,1/64)	1/8	Evaluate square root of 1/64
√(,361)	19	Evaluate square root of 361
y=2	2	Find the y-intercept y=2
1/8	12.5*%	Convert to a Percentage 1/8
y−4=0	4	Graph y-4=0
y=2/3*x	2/3*x	Graph y=2/3x
y=(1/6)x	(1/6)x	Graph y=(1/6)^x
(log_)(x)+(log_)(x+48)=2	2⇒x=2	Solve for x log of x+ log of x+48=2
x−y=2	y+2	Solve for x x-y=2
(3+4i)(3−4*i)	25	Simplify (3+4i)(3-4i)
(2x+5)(2*x−5)	4*x2−25	Simplify (2x+5)(2x-5)
(2*x−1)2	4x2−4x+1	Simplify (2x-1)^2
x(−5)	1/(x5)	Simplify x^-5
√(,64*x6)	8*x3	Simplify square root of 64x^6
8x2+10x−7=0	1/2,−7/4	Solve by Factoring 8x^2+10x-7=0
x2−4*x−2=0	2±√(,6)	Solve Using the Quadratic Formula x^2-4x-2=0
4x2−9x+3=0	(9±√(,33))/8	Solve Using the Quadratic Formula 4x^2-9x+3=0
4x2+4x+1=0	−1/2	Solve Using the Quadratic Formula 4x^2+4x+1=0
7x2−3x−2=0	(3±√(,65))/14	Solve Using the Quadratic Formula 7x^2-3x-2=0
3x2+7x+4	(3x+4)(x+1)	Factor 3x^2+7x+4
3x2+11x+10	(3x+5)(x+2)	Factor 3x^2+11x+10
x2−13*x+12	(x−12)*(x−1)	Factor x^2-13x+12
5x2+24x−5	(5x−1)(x+5)	Factor 5x^2+24x-5
49*x2−81	(7x−9)(7*x+9)	Factor 49x^2-81
(log_8)(√(,8))	1/2	Evaluate log base 8 of square root of 8
(log_2)(64)	6	Simplify/Condense log base 2 of 64
4/8	1/2	Evaluate 4/8
(2/3)0	1	Evaluate (2/3)^0
9/5	1.8	Evaluate 9/5
125	5	Find the Prime Factorization 125
68	2×17	Find the Prime Factorization 68
√(,−216)	6*i√(,6)	Evaluate square root of -216
√(,117)	3√(,13)	Evaluate square root of 117
√(3,189)	3√(3,7)	Evaluate cube root of 189
√(3,27)	3	Evaluate - cube root of 27
√(3,25)	√(3,25)≈2.924017738	Evaluate cube root of 25
(3x−2y)2	9x2−12xy+4y2	Expand Using the Binomial Theorem (3x-2y)^2
i5⋅5	5*i	Simplify i^5*5
x+5*y=10	−1/5*x+2	Graph x+5y=10
( y = -2	x	)
ƒ(x)=(2/3)x	see full solution →	Graph f(x)=(2/3)^x
a=p*r2	±√(,a/p)	Solve for r a=pr^2
2/√(,3)	(2√(,3))/3	Simplify 2/( square root of 3)
2x+3y=12	x-intercept: (6,0), y-intercept: (0,4)	Find the x and y Intercepts 2x+3y=12
5x2+9x−2=0	1/5,−2	Solve Using the Quadratic Formula 5x^2+9x-2=0
x2−10=0	±√(,10)	Solve Using the Quadratic Formula x^2-10=0
6x2−11x+3	(3x−1)(2*x−3)	Factor 6x^2-11x+3
6x2−17x+5	(3x−1)(2*x−5)	Factor 6x^2-17x+5
x2−16*y2	(x−4y)(x+4*y)	Factor x^2-16y^2
x2+2*x+48	prime polynomial	Factor x^2+2x+48
x3+2x2−5x−10	(x+2)*(x2−5)	Factor x^3+2x^2-5x-10
125−x3	(5−x)(25+5x+x2)	Factor 125-x^3
3x2−18x+27	3*(x−3)2	Factor 3x^2-18x+27
x(1/4)	√(4,x)	Convert to Radical Form x^(1/4)
ln(6)	ln(6)≈1.791759	Evaluate natural log of 6
6=1296	1296⇔(log_6)(1296)=4	Convert to Logarithmic Form 6^4=1296
(1/625)3/4	1/125	Evaluate (1/625)^(3/4)
(−1024)(1/5)	−4	Evaluate (-1024)^(1/5)
3/9	1/3	Evaluate 3/9
25(−1/2)	1/5	Evaluate 25^(-1/2)
9/12	3/4	Evaluate 9/12
64(−1/3)	1/4	Evaluate 64^(-1/3)
5/9	0.*5	Evaluate 5/9
√(,3)⋅√(,6)	3√(,2)	Evaluate square root of 3* square root of 6
(x+y)5	x5+5x4y+10x3y2+10x2y3+5xy4+y5	Expand Using the Binomial Theorem (x+y)^5
(x+5)3	x3+15x2+75x+125	Expand Using the Binomial Theorem (x+5)^3
√(,360)	6√(,10)	Evaluate square root of 360
√(,1/49)	1/7	Evaluate square root of 1/49
√(,49/64)	7/8	Evaluate square root of 49/64
y=x2−5*x+6	x2−5*x+6	Graph y=x^2-5x+6
2=7	ln(7)/ln(2)	Solve for x 2^x=7
x4−20*x2+64=0	{−4,−2,2,4}	Solve for x x^4-20x^2+64=0
ln(x)=6	6⇒x=e6	Solve for x natural log of x=6
(x−2)(x2+2x+4)	x3−8	Simplify (x-2)(x^2+2x+4)
(x−8)*(x+8)	x2−64	Simplify (x-8)(x+8)
√(,16)	4	Simplify square root of 16
i63	−i	Simplify i^63
i6⋅5	−5	Simplify i^6*5
2x−5y=10	x-intercept: (5,0), y-intercept: (0,−2)	Find the x and y Intercepts 2x-5y=10
3x−2y=12	x-intercept: (4,0), y-intercept: (0,−6)	Find the x and y Intercepts 3x-2y=12
x2+6*x=7	1, -7$	Solve by Completing the Square x^2+6x=7
x2+2*x+17=0	−1±4*i	Solve Using the Quadratic Formula x^2+2x+17=0
x−4*y=8	x-intercept: (8,0), y-intercept: (0,−2)	Find the x and y Intercepts x-4y=8
4x2+13x+3	(4x+1)(x+3)	Factor 4x^2+13x+3
x2+3*x−70	(x+10)*(x−7)	Factor x^2+3x-70
x2−14*x+40	(x−4)*(x−10)	Factor x^2-14x+40
x2−2*x−4	(x−(1+√(,5)))*(x−(1−√(,5)))	Factor x^2-2x-4
w2+18*w+77	(w+7)*(w+11)	Factor w^2+18w+77
8*x3+125	(2x+5)(4x2−10x+25)	Factor 8x^3+125
ƒ(x)=x+4	x−4	Find the Inverse f(x)=x+4
−2(−3)	−1/8	Evaluate -2^-3
(1/9)(3/2)	1/27	Evaluate (1/9)^(3/2)
(1/25)3/2	1/125	Evaluate (1/25)^(3/2)
7/9	0.*(7)	Evaluate 7/9
52	2⋅13	Find the Prime Factorization 52
√(,5/7)	√(,35)/7	Evaluate square root of 5/7
√(,25/49)	5/7	Evaluate square root of 25/49
√(,136)	2√(,34)	Evaluate square root of 136
√(3,125)	5	Evaluate - cube root of 125
√(,76)	2√(,19)	Evaluate square root of 76
√(,53)	√(,53)≈7.2801	Evaluate square root of 53
√(5,64)	2√(5,2)	Evaluate fifth root of 64
(x−y)3	x3−3x2y+3xy2−y3	Expand Using the Binomial Theorem (x-y)^3
y=x+8	x+8	Graph y=x+8
( y = 3	x	)
4/5	80*%	Convert to a Percentage 4/5
ƒ(x)=(x+2)2−1	see full solution →	Graph f(x)=(x+2)^2-1
4*x+y=8	−4*x+8	Graph 4x+y=8
(2x2−13x+7)−(1−12*x)	2*x2−x+6	Subtract (2x^2-13x+7)-(1-12x)
4x2+12x+9	4*(x+3/2)2	Complete the Square 4x^2+12x+9
−(1+7x)−6(−7−x)=36	36⇒x=5	Solve for x -(1+7x)-6(-7-x)=36
x+2*y=6	6 - 2y$	Solve for x x+2y=6
(2*x2)3	8*x6	Simplify (2x^2)^3
x=−5	−5	Solve for x x=-5
(x+5)2	x2+10*x+25	Multiply (x+5)^2
√(,9/4)	3/2	Simplify square root of 9/4
(−20+√(,−75))/40	−1/2+√(,3)/8*i	Divide (-20+ square root of -75)/40
y=−2*x+3	x-intercept: (1.5,0), y-intercept: (0,3)	Find the x and y Intercepts y=-2x+3
x2−4*x+9=0	2±i√(,5)	Solve Using the Quadratic Formula x^2-4x+9=0
x2−2=0	±√(,2)	Solve Using the Quadratic Formula x^2-2=0
2*x2−x−6=0	2,−3/2	Solve Using the Quadratic Formula 2x^2-x-6=0
4x2−8x+3=0	3/2,1/2	Solve Using the Quadratic Formula 4x^2-8x+3=0
6x2+7x−20	(3x−4)(2*x+5)	Factor 6x^2+7x-20
6x2−7x+2	(3x−2)(2*x−1)	Factor 6x^2-7x+2
4*x2−x−3	(4x+3)(x−1)	Factor 4x^2-x-3
4*x2−100	4(x - 5)(x + 5)$	Factor 4x^2-100
4x2+7x+3	(4x+3)(x+1)	Factor 4x^2+7x+3
a2−9	(a−3)*(a+3)	Factor a^2-9
x2−16*x	x*(x−16)	Factor x^2-16x
3*x−9	3(x - 3)$	Factor 3x-9
3x2−14x+8	(3x−2)(x−4)	Factor 3x^2-14x+8
2*x+8	2(x + 4)$	Factor 2x+8
ƒ(x)=4*x2	—	Graph f(x)=4x^2
i6⋅3	−3	Simplify i^6*3
9=81	81⇔(log_9)(81)=2	Convert to Logarithmic Form 9^2=81
x2+y2=1	Center: (0,0), Radius: 1	Find the Center and Radius x^2+y^2=1
99	3⋅11	Find the Prime Factorization 99
√(,700)	10√(,7)	Evaluate square root of 700
√(3,12)	√(3,12)≈2.2894	Evaluate cube root of 12
√(,4/9)	2/3	Simplify square root of 4/9
y=4	4	Graph 4^x
ƒ(x)=4*x2−x−3	4*x2−x−3	Graph f(x)=4x^2-x-3
5=625	4	Solve for x 5^x=625
(x+y)*(x−y)	x2−y2	Simplify (x+y)(x-y)
i51	−i	Simplify i^51
√(,30)	√(,30)	Simplify square root of 30
(−20+√(,−50))/60	−1/3+√(,2)/12*i	Divide (-20+ square root of -50)/60
√(,80*x3)	4x√(,5x)	Simplify square root of 80x^3
3*x2−x+4=0	(1±i√(,47))/6	Solve Using the Quadratic Formula 3x^2-x+4=0
x2−14*x+49=0	7	Solve Using the Quadratic Formula x^2-14x+49=0
x2−15=0	±√(,15)	Solve Using the Quadratic Formula x^2-15=0
x2−x−5=0	(1±√(,21))/2	Solve Using the Quadratic Formula x^2-x-5=0
x2+x=12	3, -4$	Solve Using the Quadratic Formula x^2+x=12
x+4*y=8	x-intercept: (8,0), y-intercept: (0,2)	Find the x and y Intercepts x+4y=8
3*x−12	3(x - 4)$	Factor 3x-12
2x2−16x+32	2*(x−4)2	Factor 2x^2-16x+32
x2−4*x−60	(x−10)*(x+6)	Factor x^2-4x-60
x2+18*x	x*(x+18)	Factor x^2+18x
x2+15*x+50	(x+5)*(x+10)	Factor x^2+15x+50
125*x3+1	(5x+1)(25x2−5x+1)	Factor 125x^3+1
y2+18xy+81*x2	(y+9*x)2	Factor y^2+18xy+81x^2
a2−16	(a−4)*(a+4)	Factor a^2-16
49*x2−64	(7x−8)(7*x+8)	Factor 49x^2-64
64x2+16x+1	(8*x+1)2	Factor 64x^2+16x+1
ƒ(x)=4*x−5	(x+5)/4	Find the Inverse f(x)=4x-5
(log_6)(1/36)	−2	Evaluate log base 6 of 1/36
−3/4	−0.75	Evaluate -3/4
55	5×11	Find the Prime Factorization 55
9/3	3	Evaluate 9/3
8/4	2	Evaluate 8/4
√(,441)	21	Evaluate square root of 441
−2≤2*x−4<4	−2≤2*x−4<4⇒1≤x<4	Graph -2<=2x-4<4
y=(log_3)(x)	(log_3)(x)	Graph y = log base 3 of x
y=−1/2*x+4	−1/2*x+4	Graph y=-1/2x+4
y=5*x+5	5*x+5	Graph y=5x+5
3/4	75*%	Convert to a Percentage 3/4
−1=(5+x)/6	(5+x)/6⇒x=−11	Solve for x -1=(5+x)/6
2*x+y=5	(5−y)/2	Solve for x 2x+y=5
x−y=5	y+5	Solve for x x-y=5
(2x−5)(2*x+5)	4*x2−25	Simplify (2x-5)(2x+5)
√(,y3)	y√(,y)	Simplify square root of y^3
√(,x2⋅0)	0	Simplify square root of x^2*0
√(,72*x3)	6x√(,2x)	Simplify square root of 72x^3
(2*x+1)2	4x2+4x+1	Simplify (2x+1)^2
√(3,16*x5)	2x√(3,2x2)	Simplify cube root of 16x^5
√(3,6*x)=−2	−2⇒x=−4/3	Solve by Factoring cube root of 6x=-2
x+y=5	x-intercept: (5,0), y-intercept: (0,5)	Find the x and y Intercepts x+y=5
x2+7*x=0	0, -7$	Solve Using the Quadratic Formula x^2+7x=0
64x3−27y3	(4x−3y)(16x2+12xy+9*y2)	Factor 64x^3-27y^3
6*x2−x−15	(2x+3)(3*x−5)	Factor 6x^2-x-15
6x2+17x+5	(3x+1)(2*x+5)	Factor 6x^2+17x+5
81−x2	(9−x)*(9+x)	Factor 81-x^2
8*x2−50	2(2x - 5)(2x + 5)$	Factor 8x^2-50
x3−216	(x−6)(x2+6x+36)	Factor x^3-216
z3+125	(z+5)(z2−5z+25)	Factor z^3+125
1−x2	(1−x)*(1+x)	Factor 1-x^2
12*x2−75	3(2x - 5)(2x + 5)$	Factor 12x^2-75
100*x2−1	(10x−1)(10*x+1)	Factor 100x^2-1
x3+5x2−4x−20	(x−2)(x+2)(x+5)	Factor x^3+5x^2-4x-20
3x2−5x−12	(3x+4)(x−3)	Factor 3x^2-5x-12
3x3−27x	3x(x−3)*(x+3)	Factor 3x^3-27x
ƒ(x)=x2−2*x−3	see full solution →	Find the Properties f(x)=x^2-2x-3
2(−3)=1/8	see full solution →	Convert to Logarithmic Form 2^-3=1/8
x2+y2=64	Center: (0,0), Radius: 8	Find the Center and Radius x^2+y^2=64
(1/64)2/3	1/16	Evaluate (1/64)^(2/3)
8/9	0.*(8)	Evaluate 8/9
7/20	0.35	Evaluate 7/20
√(,12)+√(,27)	5√(,3)	Evaluate square root of 12+ square root of 27
2⋅−2	−4	Evaluate 2*-2
√(,−343)	7*i√(,7)	Evaluate square root of -343
√(,240)	4√(,15)	Evaluate square root of 240
√(,73)	√(,73)≈8.5440	Evaluate square root of 73
√(,49/81)	7/9	Evaluate square root of 49/81
√(3,270)	3√(3,10)	Evaluate cube root of 270
8√(,2)	8√(,2)≈11.3137	Evaluate 8 square root of 2
2x−3y=6	2/3	Find the Slope 2x-3y=6
3*x−y=6	3*x−6	Graph 3x-y=6
x2+y2=81	see full solution →	Graph x^2+y^2=81
ƒ(x)=1	1	Graph f(x)=1
x2+10*x	(x+5)2	Find the Perfect Square Trinomial x^2+10x
x2+14*x	(x+7)2	Find the Perfect Square Trinomial x^2+14x
3x−4y=12	4/3*y+4	Solve for x 3x-4y=12
ln(x)=8	8⇒x=e8	Solve for x natural log of x=8
y=2*x	2*x	Solve for y y=2x
(3−4*i)2	−7−24*i	Simplify (3-4i)^2
5*x	5*x	Simplify 5x
(x+1)2	x2+2*x+1	Multiply (x+1)^2
1/√(3,x4)	x(−4/3)	Simplify 1/( cube root of x^4)
(√(,7+x))2	7+x	Simplify ( square root of 7+x)^2
√(,x2−8*x+16)	$	x-4
√(,17)	√(,17)	Simplify square root of 17
( \frac{r^2}{	r^2	} )
x(3/2)=8	4	Solve by Factoring x^(3/2)=8
(x2−16)/(x−4)=x+4	x+4⇒x∈ℝ,x≠4	Solve by Factoring (x^2-16)/(x-4)=x+4
√(,160)	4√(,10)	Calculate the Square Root square root of 160
3x2−7x−2=0	(7±√(,73))/6	Solve Using the Quadratic Formula 3x^2-7x-2=0
2*x2+x−3=0	1,−3/2	Solve Using the Quadratic Formula 2x^2+x-3=0
x2+8*x=−15	−3,−5	Solve Using the Quadratic Formula x^2+8x=-15
x2−x−3=0	(1±√(,13))/2	Solve Using the Quadratic Formula x^2-x-3=0
x2−75=0	±5√(,3)	Solve Using the Quadratic Formula x^2-75=0
x2−27=0	±3√(,3)	Solve Using the Quadratic Formula x^2-27=0
y=x2−6*x−7	see full solution →	Find the x and y Intercepts y=x^2-6x-7
y=2*x−3	see full solution →	Find the x and y Intercepts y=2x-3
3x2−16x−12	(3x+2)(x−6)	Factor 3x^2-16x-12
4*x2+49	(2x+7i)(2x−7*i)	Factor 4x^2+49
16−x2	(4−x)*(4+x)	Factor 16-x^2
x4−25	(x2−5)*(x2+5)	Factor x^4-25
y2−9*y+14	(y−2)*(y−7)	Factor y^2-9y+14
a2+2ab+b2	(a+b)2	Factor a^2+2ab+b^2
9x2+42x+49	(3*x+7)2	Factor 9x^2+42x+49
49*x2−9	(7x−3)(7*x+3)	Factor 49x^2-9
4x3+8x2−96*x	4x(x+6)*(x−4)	Factor 4x^3+8x^2-96x
49*x2−25	(7x−5)(7*x+5)	Factor 49x^2-25
ln(7)	ln(7)≈1.9459	Evaluate natural log of 7
(−243)(3/5)	−27	Evaluate (-243)^(3/5)
(−4)(−1)	−1/4	Evaluate (-4)^-1
0.2	1/5	Convert to a Simplified Fraction 0.2
49(−1/2)	1/7	Evaluate 49^(-1/2)
3√(,18)	9√(,2)	Evaluate 3 square root of 18
(3*x+5)2	9x2+30x+25	Expand Using the Binomial Theorem (3x+5)^2
y=−1/2*x−1	−1/2*x−1	Graph y=-1/2x-1
y=−2	−2	Graph y=-2^x
(x2)/9+(y2)/16=1	see full solution →	Graph (x^2)/9+(y^2)/16=1
$ x^2 + 18x + \text{___} $	(x+9)2	Complete the Square x^2+18x+
(log_x)(36)=2	2⇒x=6	Solve for x log base x of 36=2
(	x^2+x-1	=1 )
2*x(−3)	2/(x3)	Simplify 2x^-3
√(,1/9)	1/3	Simplify square root of 1/9
√(3,32)	2√(3,4)	Simplify cube root of 32
2x2−5x−3=0	−1/2,3	Solve by Factoring 2x^2-5x-3=0
6/(5+i)	15/13−3/13*i	Write in Standard Form 6/(5+i)
y=x2−2*x−24	see full solution →	Find the x and y Intercepts y=x^2-2x-24
x2−20=0	±2√(,5)	Solve Using the Quadratic Formula x^2-20=0
x2−144=0	±12	Solve Using the Quadratic Formula x^2-144=0
x2−8*x+25=0	4±3*i	Solve Using the Quadratic Formula x^2-8x+25=0
x2−x+8=0	(1±i√(,31))/2	Solve Using the Quadratic Formula x^2-x+8=0
2x2+7x−5=0	(−7±√(,89))/4	Solve Using the Quadratic Formula 2x^2+7x-5=0
2x2−7x−6=0	(7±√(,97))/4	Solve Using the Quadratic Formula 2x^2-7x-6=0
14x2+3x−2=0	2/7,−1/2	Solve Using the Quadratic Formula 14x^2+3x-2=0
√(,361)	19	Calculate the Square Root square root of 361
6*x2+x−1	(3x−1)(2*x+1)	Factor 6x^2+x-1
81*x2−4	(9x−2)(9*x+2)	Factor 81x^2-4
b2−6*b+8	(b−2)*(b−4)	Factor b^2-6b+8
10x2+17x+3	(5x+1)(2*x+3)	Factor 10x^2+17x+3
x3−16*x	x(x−4)(x+4)	Factor x^3-16x
x2−225	(x−15)*(x+15)	Factor x^2-225
x2−14*x	x*(x−14)	Factor x^2-14x
16x2−56x+49	(4*x−7)2	Factor 16x^2-56x+49
2x2+9x+7	(2x+7)(x+1)	Factor 2x^2+9x+7
2n2+6n−108	2(n+9)(n−6)	Factor 2n^2+6n-108
3x2+2x−16	(3x+8)(x−2)	Factor 3x^2+2x-16
x(1/5)	√(5,x)	Convert to Radical Form x^(1/5)
x<2	x<2⇒(−∞,2)	Convert to Interval Notation x<2
ƒ(x)=2*x+4	1/2*x−2	Find the Inverse f(x)=2x+4
(log_2)(9)	ln(9)/ln(2)≈3.1699	Evaluate log base 2 of 9
15/4	3.75	Evaluate 15/4
12	1728	Evaluate 12^3
(−4)/2	−2	Evaluate -4/2
6	46656	Evaluate 6^6
64(5/6)	32	Evaluate 64^(5/6)
2	2	Find the Prime Factorization 2
(x−10)2	x2−20*x+100	Expand Using the Binomial Theorem (x-10)^2
√(3,7)	√(3,7)≈1.912931	Evaluate cube root of 7
√(,25/64)	5/8	Evaluate square root of 25/64
√(,1/81)	1/9	Evaluate square root of 1/81
√(,13/5)	√(,65)/5	Evaluate square root of 13/5
√(,2/7)	√(,14)/7	Evaluate square root of 2/7
x2=−64	±8*i	Solve Using the Square Root Property x^2=-64
y=1/3*x−2	1/3*x−2	Graph y=1/3x-2
i4⋅0	0	Simplify i^4*0
y=2*x−8	2*x−8	Graph y=2x-8
ƒ(x)=x3−2	x3−2	Graph f(x)=x^3-2
x2+6*x	(x+3)2	Find the Perfect Square Trinomial x^2+6x
x2+8*x	(x+4)2	Find the Perfect Square Trinomial x^2+8x
(log_4)(64)=3	3* is True	Determine if True log base 4 of 64=3
C=2πr	C/(2*π)	Solve for r C=2pir
A=1/2h(B+b)	(2*A)/h−B	Solve for b A=1/2*(h(B+b))
ln(x)=2	2⇒x=e2	Solve for x natural log of x=2
−3(4x+3)+4(6x+1)=43	43⇒x=4	Solve for x -3(4x+3)+4(6x+1)=43
√(,25/4)	5/2	Simplify square root of 25/4
(8−3*i)2	55 - 48i$	Simplify (8-3i)^2
2n(n2+3*n+4)	2n3+6n2+8*n	Simplify 2n(n^2+3n+4)
x<3	x∈(−∞,3)	Solve for x x<3
√(3,y7)	y2√(3,y)	Simplify cube root of y^7
√(3,27)	9	Simplify cube root of 27^2
x4−29*x2+100=0	{−5,−2,2,5}	Solve by Factoring x^4-29x^2+100=0
x(3/2)=27	9	Solve by Factoring x^(3/2)=27
z2+2*z−35=0	0⇒z=−7,5	Solve by Factoring z^2+2z-35=0
2x2−9x−5=0	5,−1/2	Solve Using the Quadratic Formula 2x^2-9x-5=0
x2−12*x+27=0	9, 3$	Solve Using the Quadratic Formula x^2-12x+27=0
3x2−15x+18	3(x - 2)(x - 3)$	Factor 3x^2-15x+18
2*x−6	2(x - 3)$	Factor 2x-6
4x2+16x+15	(2x+3)(2*x+5)	Factor 4x^2+16x+15
100−x2	(10−x)*(10+x)	Factor 100-x^2
121*x2−1	(11x−1)(11*x+1)	Factor 121x^2-1
4*x+8	4(x + 2)$	Factor 4x+8
5x2+13x−6	(5x−2)(x+3)	Factor 5x^2+13x-6
5x2−34x−7	(5x+1)(x−7)	Factor 5x^2-34x-7
ƒ(x)=x3−4	√(3,x+4)	Find the Inverse f(x)=x^3-4
3.5	7/2	Convert to a Simplified Fraction 3.5
80	2×5	Find the Prime Factorization 80
6/9	2/3	Evaluate 6/9
√(,9/64)	3/8	Evaluate square root of 9/64
√(,600)	10√(,6)	Evaluate square root of 600
√(3,−1/8)	−1/2	Evaluate cube root of -1/8
√(3,750)	5√(3,6)	Evaluate cube root of 750
√(7,128)	2	Evaluate seventh root of 128
y=x−7	x−7	Graph y=x-7
x2=28	±2√(,7)	Solve Using the Square Root Property x^2=28
ƒ(x)=1/2*x2	1/2*x2	Graph f(x)=1/2x^2
√(,15−2*x)=x	x⇒x=3	Solve for x square root of 15-2x=x
√(5,x2+2*x)=−1	−1⇒x=−1	Solve for x fifth root of x^2+2x=-1
i53	i	Simplify i^53
√(,(−3)2)	3	Simplify square root of (-3)^2
1/3*y+1/4=5/12	5/12⇒y=1/2	Solve for y 1/3y+1/4=5/12
√(,48x3)/√(,3x)	4*x	Simplify
√(,80*p3)	4p√(,5p)	Simplify square root of 80p^3
x2+5*x−36=0	4, -9$	Solve Using the Quadratic Formula x^2+5x-36=0
x2−6*x=27	9, -3$	Solve Using the Quadratic Formula x^2-6x=27
x2−18*x+81=0	9	Solve Using the Quadratic Formula x^2-18x+81=0
x2−4*x=5	5, -1$	Solve Using the Quadratic Formula x^2-4x=5
2x2+5x−7=0	1,−7/2	Solve Using the Quadratic Formula 2x^2+5x-7=0
5*w2−3=0	±√(,15)/5	Solve Using the Quadratic Formula 5w^2-3=0
9x2−5x−1=0	(5±√(,61))/18	Solve Using the Quadratic Formula 9x^2-5x-1=0
√(,23)	√(,23)≈4.7958	Calculate the Square Root square root of 23
8x2−14x+3	(4x−1)(2*x−3)	Factor 8x^2-14x+3
x2−13*x−30	(x+2)*(x−15)	Factor x^2-13x-30
x3+2x2−4x−8	(x−2)*(x+2)2	Factor x^3+2x^2-4x-8
x2−9*x−22	(x−11)*(x+2)	Factor x^2-9x-22
x3+x2−4*x−4	(x+1)(x−2)(x+2)	Factor x^3+x^2-4x-4
x4−3*x2−4	(x−2)(x+2)(x2+1)	Factor x^4-3x^2-4
a2−25	(a−5)*(a+5)	Factor a^2-25
4x2+12xy+9y2	(2x+3y)2	Factor 4x^2+12xy+9y^2
36x2−60x+25	(6*x−5)2	Factor 36x^2-60x+25
x(1/6)	√(6,x)	Convert to Radical Form x^(1/6)
(log_9)(9)	1	Evaluate log base 9 of 9
125(4/3)=625	4/3	Convert to Logarithmic Form 125^(4/3)=625
ln(e)	1	Expand the Logarithmic Expression natural log of e
(−5,−3),m=−2	−2*x−13	Find the Equation Using Slope-Intercept Form (-5,-3) , m=-2
(5)(1/2)	25	Evaluate (5^4)^(1/2)
(1/4)3/2	1/8	Evaluate (1/4)^(3/2)
12/5	2.4	Evaluate 12/5
98	2⋅7	Find the Prime Factorization 98
6	2⋅3	Find the Prime Factorization 6
√(,900)	30	Evaluate square root of 900
√(,25/81)	5/9	Evaluate square root of 25/81
( y =	x	)
2*x2=32	±4	Solve Using the Square Root Property 2x^2=32
x+3=0	−3	Graph x+3=0
y=1/2*x3	1/2*x3	Graph y=1/2x^3
x2−6*x	(x−3)2	Find the Perfect Square Trinomial x^2-6x
x2−8*x	(x−4)2	Find the Perfect Square Trinomial x^2-8x
4=256	4	Solve for x 4^x=256
v=lwh	lwh	Solve for v v=lwh
v=(x−y)/z	x−v*z	Solve for y v=(x-y)/z
i65	i	Simplify i^65
0>x2+5*x−2	see full solution →	Solve for x 0>x^2+5x-2
(7−√(,2))*(8+√(,2))	54−√(,2)	Multiply
√(,216*k4)	6*k2√(,6)	Simplify square root of 216k^4
√(,9*y2)	3	y
x2−49=0	7, -7$	Solve by Factoring x^2-49=0
√(,4*y+1)−√(,y−2)=3	3⇒y=2,6	Solve by Factoring
√(,4*y+12)−√(,y−6)=6	6⇒y=6,22	Solve by Factoring
9x2+12x+4=0	−2/3	Solve Using the Quadratic Formula 9x^2+12x+4=0
x2−x−42=0	7, -6$	Solve Using the Quadratic Formula x^2-x-42=0
x2−12*x+20=0	10, 2$	Solve Using the Quadratic Formula x^2-12x+20=0
3x2+2x−5	(3x+5)(x−1)	Factor 3x^2+2x-5
3x2+26x+35	(3x+5)(x+7)	Factor 3x^2+26x+35
2x2+2x−40	2(x + 5)(x - 4)$	Factor 2x^2+2x-40
x2−7*x−44	(x+4)*(x−11)	Factor x^2-7x-44
x2−8*x−48	(x−12)*(x+4)	Factor x^2-8x-48
x3−3x2+4x−12	(x2+4)*(x−3)	Factor x^3-3x^2+4x-12
x2+2*x−4	(x+1−√(,5))*(x+1+√(,5))	Factor x^2+2x-4
y2+4*y+4	(y+2)2	Factor y^2+4y+4
9x2+7x−56	9x2+7x−56	Factor 9x^2+7x-56
9x2+18x+8	(3x+2)(3*x+4)	Factor 9x^2+18x+8
ƒ(x)=x3−1	√(3,x+1)	Find the Inverse f(x)=x^3-1
ƒ(x)=x2	√(,x)	Find the Inverse f(x)=x^2
ƒ(x)=3*x−5	(x+5)/3	Find the Inverse f(x)=3x-5
(log_2)(5)	ln(5)/ln(2)≈2.3219	Evaluate log base 2 of 5
(log_)(0.1)	−1	Evaluate log of 0.1
(1/4)5/2	1/32	Evaluate (1/4)^(5/2)
(1/256)1/4	1/4	Evaluate (1/256)^(1/4)
(1/5)(−2)	25	Evaluate (1/5)^-2
(−64)(4/3)	256	Evaluate (-64)^(4/3)
4⋅3	12	Evaluate 4*3
10	100,000,000	Evaluate 10^8
7(−3)	1/343	Evaluate 7^-3
√(,−40)	2*i√(,10)	Evaluate square root of -40
√(,−147)	7*i√(,3)	Evaluate square root of -147
√(,75)/√(,3)	5	Evaluate ( square root of 75)/( square root of 3)
y=x2+4*x−7	(−2,−11)	Find the Vertex y=x^2+4x-7
(x−5)3	x3−15x2+75x−125	Expand Using the Binomial Theorem (x-5)^3
x=(y+2)2	see full solution →	Graph x=(y+2)^2