Help simplifying a rational expression?

  • Thread starter Jay9313
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  • #1
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Homework Statement



[itex]\frac{x^2}{(x^2 -1)}[/itex]

Homework Equations



N/A

The Attempt at a Solution


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

Answers and Replies

  • #2
SammyS
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Homework Statement



[itex]\frac{x^2}{(x^2 -1)}[/itex]

Homework Equations



N/A

The Attempt at a Solution


I know the solution is supposed to be 1+[itex]\frac{1}{2(x-1)}[/itex]-[itex]\frac{1}{2(x+1)}[/itex] and when I did long division, I got 1+[itex]\frac{1}{(x^2-1)}[/itex] , 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?
 
  • #3
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Yeah, we just did those a few weeks ago.. Thank you so much!
 

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