# Help simplifying a rational expression?

## Homework Statement

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

N/A

## The Attempt at a Solution

I know the solution is supposed to be 1+$\frac{1}{2(x-1)}$-$\frac{1}{2(x+1)}$ and when I did long division, I got 1+$\frac{1}{(x^2-1)}$ , so I'm making progress, but I'm not quite there. What should I try for my next step?

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SammyS
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Homework Helper
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## Homework Statement

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

N/A

## The Attempt at a Solution

I know the solution is supposed to be 1+$\frac{1}{2(x-1)}$-$\frac{1}{2(x+1)}$ and when I did long division, I got 1+$\frac{1}{(x^2-1)}$ , so I'm making progress, but I'm not quite there. What should I try for my next step?
The next step is to use partial fractions.

Are you familiar with them?

Yeah, we just did those a few weeks ago.. Thank you so much!