# How do you use the distributive property to factor 6ab+12ab^2+18b?

Apr 8, 2017

$6 b \left(a + 2 a b + 3\right)$

#### Explanation:

Multiplication is distributive over addition. So, here we can extact the common factors from the expression as follows:

Expression $= 6 a b + 12 a {b}^{2} + 18 b$

$6$ is a common factor $\to$ Expression $= 6 \left(a b + 2 a {b}^{2} + 3 b\right)$

$b$ is a common factor $\to$ Expression $= 6 b \left(a + 2 a b + 3\right)$