((x^-1)-(y^-1))/((x^-2)-(y^-2))? I know the answer is xy/x+y but I do not know how to get it.

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- May 29th 2011, 04:41 PMkpatch60Negative Exponents in Complex Fractions
((x^-1)-(y^-1))/((x^-2)-(y^-2))? I know the answer is xy/x+y but I do not know how to get it.

- May 29th 2011, 04:45 PMAlso sprach Zarathustra
- May 29th 2011, 04:47 PMkpatch60
Its question #2 on this page if looking at it in the image format would help. Sample test for LAVC's Pre-Calculus Diagnostic

- May 29th 2011, 04:50 PMkpatch60
so i have (1/x-1/y)/(1/x^2-1/y^2)/ From here should I try using conjugates or something?

- May 29th 2011, 04:51 PMe^(i*pi)
Use the difference of two squares on the denominator nothing that . If you've done it correctly you'll get a common factor on the top and bottom which can be cancelled since we know that

- May 29th 2011, 04:54 PMPlato
- May 29th 2011, 04:59 PMkpatch60
- May 29th 2011, 05:00 PMAlso sprach Zarathustra
- May 29th 2011, 05:04 PMkpatch60
- May 29th 2011, 05:08 PMPlato
- May 30th 2011, 01:10 AMHallsofIvy