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)
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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

$4a^{2}(8a+3)$