SOLUTION: Simplfy by removing non-positive exponents: x to the -1 plus y to the -1 divided by x squared minus y squared.

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(X^-1+Y^-1)/(X^2-Y^2)
(X^-1+Y^-1)/(X+Y)(X-Y)
1/(X+Y)(X+Y)(X-Y)

You can put this solution on YOUR website!
x to the -1 plus y to the -1 divided by x squared minus y squared.
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Multiplying numerator and denominator by xy:



Factoring the denominator:

Canceling like-terms:

Or,