SOLUTION: ((1/xy)-1)/((1/x^2)-(y/x))

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Question 1046198: ((1/xy)-1)/((1/x^2)-(y/x))
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
%28%281%2Fxy%29-1%29%2F%28%281%2Fx%5E2%29-%28y%2Fx%29%29

Multiply the entire fraction by %28x%5E2y%29%2F%28x%5E2y%29 and simplify.
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highlight%28%28x-x%5E2y%29%2F%28y-xy%5E2%29%29

highlight%28%28x%281-xy%29%29%2F%28y%281-xy%29%29%29,
which is almost the same as x%2Fy, but does not truely mnean the same. In the case that xy=1, the expression will be undefined, except in the "simplifed" form, but x%2Fy is NOT identical with %28x%281-xy%29%29%2F%28y%281-xy%29%29.