Answer:
4 x (x + 5)^2
Step-by-step explanation:
Factor the following:
4 x^3 + 40 x^2 + 100 x
Factor 4 x out of 4 x^3 + 40 x^2 + 100 x:
4 x (x^2 + 10 x + 25)
The factors of 25 that sum to 10 are 5 and 5. So, x^2 + 10 x + 25 = (x + 5) (x + 5):
4 x (x + 5) (x + 5)
(x + 5) (x + 5) = (x + 5)^2:
Answer: 4 x (x + 5)^2
