# Dividing Fractions

• October 2nd 2011, 05:19 AM
Srengam
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.
• October 2nd 2011, 05:24 AM
e^(i*pi)
Re: Dividing Fractions
Quote:

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 (Wink)

As long as $|x| \neq 1$ you can cancel
• October 2nd 2011, 05:29 AM
Srengam
Re: Dividing Fractions
Thank you,

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

Thanks again.