# How do you simplify  11 (x-y) + 5 (x-y) - 8 (x-y)?

Apr 22, 2016

$= 8 \left(x - y\right)$
As you can see, all of those terms have a common factor of $\left(x - y\right)$. We can factor it out and simplify it:
$11 \left(x - y\right) + 5 \left(x - y\right) - 8 \left(x - y\right) = \left(x - y\right) \left(11 + 5 - 8\right)$
$= \left(x - y\right) \left(8\right)$
$= 8 \left(x - y\right) \mathmr{and} 8 x - 8 y$