Question

what is the fully factored form of $32a^3 + 12a^2$? $\bigcirc\\ 4a^2(8a + 3)$ $\bigcirc\\ 4a(8a^2 + 3a)$ $\bigcirc\\ 12a^2(3a + 1)$ $\bigcirc\\ 12a(3a^2 + a)$

Explanation:

Step1: Find GCF of coefficients

GCF of 32 and 12 is 4.

Step2: Find GCF of variable terms

GCF of $a^3$ and $a^2$ is $a^2$.

Step3: Factor out overall GCF

Factor $4a^2$ from $32a^3 + 12a^2$:
$32a^3 + 12a^2 = 4a^2(8a + 3)$

Step4: Verify remaining terms

No common factors left in $8a+3$.

Answer:

4a²(8a + 3)