# Math Help - Factorize the following expression.

1. ## Factorize the following expression.

At first glance this looked really easy to me. Boy was I proven wrong!

Anyway, I have to factorize:

$ax+3x+2a+6$

There's a relationship between the x's and a's since the sum of the coefficients of the first 3 parts is $1+3+2=6$. If this can be turned into a -6 then it would be easier to factorize.

Any help will be greatly appreciated.

2. $a{\color{red}x} + 3{\color{red}x} + 2a + 6 \ = \ {\color{red}x}{\color{blue}(a+3)} + 2{\color{blue}(a+3)}$

Factor the x out of the first 2 terms and factor out a 2 from the last 2. Now, notice that you can factor out the blue

3. ZOMG!

Wow, that is so obvious! I've been doing this waaaaay too much.

I have a test soon and i'm getting the jitters.

I was overcomplicating it like I usually do. :s