SOLUTION: Simplify completely: y over x - x over y divided by 2 over y -2 over x

Question 135041: Simplify completely:
y over x - x over y divided by 2 over y -2 over x
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
y over x - x over y divided by 2 over y -2 over x
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Place them over a common denominator

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Invert the dividing fraction and multiply:
*
Cancel the xy's and you have:

:
:
I failed to notice that y^2 - x^2 is the difference squares & can be factored to

Cancel (y-x) leaving us with:

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I can't believe that I keep screwing this up:
In order cancel y-x we have to change the sign in the denominator. Make it a -2

Cancel (y-x) leaving us with:
=
:
Sorry if I got you thoroughly confused. Do you have any questions?
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