# How do you add #(x + 4)/(2x +6) +3/(x^2-9)#?

##### 2 Answers

It's all about using factoring to "whittle down" these guys.

First, 2x + 6 is 2 times x + 3.

Also,

The common denominator is 2(x+3)(x-3)

Now simplify.

This *might* be the final answer, but we need to check for any common factors in the numerator and denominator.

Aha! The

*Final Answer*

As with simple fractions, the first step is to create a common denominator.

Since

the obvious choice for a common denominator is

and our addition becomes