SOLUTION: Simplify by removing non-positive exponents: x^-1 + y^-1 / x^-2 - y^-2

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Question 167821: Simplify by removing non-positive exponents: x^-1 + y^-1 / x^-2 - y^-2
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify by removing non-positive exponents: x^-1 + y^-1 / x^-2 - y^-2
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%28x%5E-1+%2B+y%5E-1%29%2F%28x%5E-2+-+y%5E-2%29
Multiply by x^2
%28x+%2B+x%5E2y%5E-1%29%2F%281+-+x%5E2y%5E-2%29
Multiply by y^2
%28xy%5E2+%2B+x%5E2y%29%2F%28y%5E2+-+x%5E2%29
Factor
xy%2A%28y+%2Bx%29%2F%28%28y%2Bx%29%2A%28y-x%29%29
= xy/(y-x)