Question

What is the fully factored form of 32a3 + 12a2?

Answer 1

Answer: $4a^2(8a+3)$

Step-by-step explanation:

The given algebraic expression : $32a^3 + 12a^2$

Here , the prime factorization of $32a^3 \text{ and } 12a^2$ are:

$32a^3=2\times2\times2\times2\times2\times a\times a$

$12\ a^2=2\times 2\times 3\times a\times a$

Greatest Common factor (GCF)= $2\times2\times a\times a= 4a^2$

Taking the GCF out of the each term of the expression , we get

$32a^3 + 12a^2\\\\=4a^2\times 8a +4a^2\times 3\\\\=4a^2(8a+3)$

Hence, the fully factored form of $32a^3 + 12a^2=4a^2(8a+3)$

Answer 2

When I factored it I got 4a^2(8a+3)