# How do you factor the expression 7(x-y)-z(x-y)?

Jul 23, 2016

$\left(x - y\right) \left(7 - z\right)$

#### Explanation:

This is exactly the same as factoring $7 a - z a$ where there is a common factor of $a$, leading to $a \left(7 - z\right)$

However, in this case, instead of a single variable as the common factor, there is an entire bracket which appears in both terms.

$7 \textcolor{b l u e}{\left(x - y\right)} - z \textcolor{b l u e}{\left(x - y\right)}$

Divide each term by the common bracket

$\textcolor{b l u e}{\left(x - y\right)} \left(7 - z\right)$