Question

1. factor $4a^{3}-12a^{2}$.

a. $4a^{2}(a-3)$
b. $4a^{2}(a+3)$
c. $-4a^{2}(a+3)$
d. $a^{2}(4a-12)$

Explanation:

Step1: Identify greatest common factor

The GCF of $4a^3$ and $12a^2$ is $4a^2$.

Step2: Factor out the GCF

$4a^3 - 12a^2 = 4a^2(a) - 4a^2(3) = 4a^2(a - 3)$

Answer:

a. $4a^2(a - 3)$