SOLUTION: I have x^2/ x^2-y^2 all over, x/x+y. (complex rational expression). thankyou!!!!!!!

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Question 81220: I have x^2/ x^2-y^2 all over, x/x+y. (complex rational expression). thankyou!!!!!!!
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
:
x%5E2%2F%28%28x%5E2-y%5E2%29%29
--------
+x%2F%28%28x%2By%29%29
:
Remember, when you divide factions, invert the dividing fraction & multiply:
x%5E2%2F%28%28x%5E2-y%5E2%29%29 * %28%28x%2By%29%29%2Fx
:
(x^2-y^2) is the difference of squares, so factor:
x%5E2%2F%28%28x%2By%29%28x-y%29%29%29 * %28%28x%2By%29%29%2Fx
:
cancel (x+y)'s and x and you have:
x%2F%28x-y%29