# How do you factor 2ac+ad+6bc+3bd?

Feb 6, 2015

You will need to factor by grouping. Look at the first two terms and find the greatest common factor. Look at the last two terms and find the greatest common factor.

The first two terms contain the variable $a$

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

The last two terms contain $3 b$

$a \left(2 c + d\right) + 3 b \left(2 c + d\right)$

If you will notice both terms contain $\left(2 c + d\right)$. We will factor this from both terms, giving us our final answer.

$\left(2 c + d\right) \left(a + 3 b\right)$