# Math Help - Dividing Fractions

1. ## Dividing Fractions

Hi there,

I am having difficulty getting the correct solution for

$\frac{1}{x^{2}-1}\div\frac{1}{x-1}=\frac{1}{x+1}$

I've been getting

$\frac{x-1}{x^{2}-1}$

which is as far as I can take it, I must be missing something simple.

Many thanks.

2. ## Re: Dividing Fractions

Originally Posted by Srengam
Hi there,

I am having difficulty getting the correct solution for

$\frac{1}{x^{2}-1}\div\frac{1}{x-1}=\frac{1}{x+1}$

I've been getting

$\frac{x-1}{x^{2}-1}$

which is as far as I can take it, I must be missing something simple.

Many thanks.
Use the difference of two squares on the denominator

As long as $|x| \neq 1$ you can cancel

3. ## Re: Dividing Fractions

Thank you,

I have didn't think of 1 as been a square number before, but it makes now.

Thanks again.