# How do you factor 35g^2h - 15gh^2?

Mar 13, 2018

$5 g h \left(7 g - 3 h\right)$

#### Explanation:

You look for the greatest common factor ($G C F$) of the two terms.
If we break this down, we can see that
- $5$ is the $G C F$ of $35$ and $15$.
- $g$ is the $G C F$ of ${g}^{2}$ and $g$.
- $h$ is the $G C F$ of $h$ and ${h}^{2}$.

This means that the $G C F$ of the overall expression is $5 g h$, so you can factor it out.
You get:
$5 g h \left(7 g - 3 h\right)$