Question

A^3+4a^2+4a factor completely

Answer 1

So firstly, factor out the GCF, or greatest common factor. To find the GCF, list the factors of every term and the greatest one they all share is their GCF. In this case, the GCF is "a":

$a(a^2+4a+4)$

Next, we are going to apply the square of binomials rule in this situation, which is $(x+y)(x+y)=x^2+2xy+y^2$ In this case:

$a^2+4a+4=(a+2)(a+2)\\\\a(a+2)(a+2)$

Your final answer is $a(a+2)(a+2)$