# How do you factor 3u(w-z)+(w-z)?

$3 u \left(w - z\right) + \left(w - z\right) = 3 u \cdot \left(w - z\right) + 1 \cdot \left(w - z\right)$
$= \left(3 u + 1\right) \left(w - z\right)$