# How do you factor 5(a-b) + c(a-b)?

Jan 26, 2017

See the entire solution process below:

#### Explanation:

First, expand the terms in parenthesis:

$\textcolor{red}{5} \left(a - b\right) + \textcolor{b l u e}{c} \left(a - b\right) \to$

$\left(\textcolor{red}{5} \times a\right) - \left(\textcolor{red}{5} \times b\right) + \left(\textcolor{b l u e}{c} \times a\right) - \left(\textcolor{b l u e}{c} \times b\right) \to$

$5 a - 5 b + c a - c b$

Next, combine like terms:

$5 a + c a - 5 b - c b$