The discussion focuses on simplifying the rational expression \(\frac{x^2}{(x^2 -1)}\). The correct solution is identified as \(1+\frac{1}{2(x-1)}-\frac{1}{2(x+1)}\). The user initially performed long division, yielding \(1+\frac{1}{(x^2-1)}\), but required guidance on the next steps. The recommended approach is to utilize partial fractions for further simplification.
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The next step is to use partial fractions.Jay9313 said: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?