# How do you combine #(x^2)/(x^2 - 49) - x/(x-7)#?

##### 2 Answers

#### Explanation:

First, you have to realize that the denominator of the first fraction is a difference between two squares:

If you have

You can rewrite it as

In this situation

So we can rewrite the first fraction as

Now we have

So in order to combine them, we need an LCD. In order to do so, we can multiply the second fraction by

Now we have

Now distribute the

Now subtract the fractions

Answer

or

or

#### Explanation:

Notice that

Now, multiply

Since the denominators are now common, you can subtract the numerators and you get

or