# How do you factor 12a^2b + 30ab^2?

Apr 4, 2018

$6 a b \left(2 a + 5 b\right)$

Here's how I did it:

#### Explanation:

To factor something, you have to see what everything has in common.

So first we find the LCM (largest common multiple) of $12$ and $30$. That is $6$.

We also find the LCM of ${a}^{2} b$ and $a {b}^{2}$, which is $a b$. Now we take out the two LCMs, $6$ and $a b$, multiply them by each other, and leave whatever was not factored out added in a parenthesis, like this:
$6 a b \left(2 a + 5 b\right)$

Hope this helps!