How do you factor  12a^2 - 24a^3?

Jul 12, 2016

$12 {a}^{2} \left(1 - 2 a\right)$

Explanation:

Let's take out common factors. First, we need to list out the factors.

$12 {a}^{2} = 12 \times a \times a$

$24 {a}^{3} = 24 \times a \times a \times a$

Let look at what we can take out. Well $12$ is a factor of both $12$ and $24$, so let's pull out a $12$. We also see that both terms have at least two $a$s, so let's pull out two $a$s.

$12 {a}^{2} \left(1 - 2 a\right)$ or $12 \left(a\right) \left(a\right) \left(1 - 2 a\right)$