Help simplifying a rational expression?

[Jay9313]

Homework Statement

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

Homework Equations

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?

 

[SammyS]

Homework Statement

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

Homework Equations

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?

 

[Jay9313]

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