Question

What is the fully factored form of 32a3 12a2? 4a2(8a 3) 4a(8a2 3a) 12a2(3a 1) 12a(3a2 a)

Answer 1

Helo,
++++++++++++++++++
Answer A
32a^3+12a²=4a²(8a+3)
++++++++++++++++++

Answer 2

we have

`32a^(3)+12a^(2)`

Find the greatest Common Factor GCF

we know that

`32=2^(5) \\ Factors=1,2,4,8,16,32\\ \\ a^(3) \\ Factors=1,a,a^(2) ,a^(3) \\ \\ 12=2^(2) *3\\ Factors=1,2,3,4,6,12\\ \\ a^(2) \\ Factors=1,a,a^(2)`

The GCF is equal to
`4a^(2)`

so

the fully factored form is equal to

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

the answer is

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