Question

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

Answer 1

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

Answer 2

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

Explanation:

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

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

`32a^3=2*2*2*2*2* a* a`

`12\ a^2=2* 2* 3* a* a`

Greatest Common factor (GCF)=
`2*2* a* a= 4a^2`

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

`32a^3 + 12a^2\\\\=4a^2* 8a +4a^2* 3\\\\=4a^2(8a+3)`

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