# How do you factor 2a^3- 2ab^2?

Jul 9, 2018

2a^3-2ab^2=color(blue)(2a(a+b)(a-b)

#### Explanation:

Factor:

$2 {a}^{3} - 2 a {b}^{2}$

The GCF is $2 a$. Factor out the GCF.

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

Factor $\left({a}^{2} - {b}^{2}\right)$ using the formula for a difference of squares:

${a}^{2} - {b}^{2} = \left(a + b\right) \left(a - b\right)$

$2 a \left(a + b\right) \left(a - b\right)$