Factor 2x^2+20x+50

Problem

2*x2+20*x+50

Solution

1. Factor out the greatest common factor by identifying that each term is divisible by 2

2*(x2+10*x+25)

2. Identify the quadratic pattern inside the parentheses, noting that it fits the form of a perfect square trinomial a2+2*a*b+b2

x2+2*(5)*(x)+5

3. Apply the perfect square formula (a+b)2=a2+2*a*b+b2 where a=x and b=5

2*(x+5)2

Final Answer

2*x2+20*x+50=2*(x+5)2

Want more problems? Check here!