Factor 16x^2-24xy+9y^2

Problem

16*x2−24*x*y+9*y2

Solution

1. Identify the expression as a trinomial and check if the first and last terms are perfect squares.

2. Recognize that 16*x2 is (4*x)2 and 9*y2 is (3*y)2

3. Verify the middle term by checking if it matches the pattern 2*a*b for a perfect square trinomial (a−b)2=a2−2*a*b+b2

4. Calculate 2(4x)(3y) = 24xy$, which matches the middle term of the expression.

5. Apply the perfect square trinomial formula (a−b)2 where a=4*x and b=3*y

Final Answer

16*x2−24*x*y+9*y2=(4*x−3*y)2

Want more problems? Check here!