# How do you combine #x^2/(x-1) - 1/(x-1)#?

##### 2 Answers

Since the numerators are the same:

Now

So

You do it by using the lowest common denominator among both fractions.

However, when both fractions have the **same** denominator and you're working with sums or subtractions, you can just go directly to the operation, summing/subtracting the terms in the numerators, keeping the denominator as it is, as follows:

Note that the numerator

By factoring

So, your final answer is