SOLUTION: Multiply and simplify y2-x2 . x+y ------- -------- x2+2xy+y2. x-y the x2 and y2 are xsquared and y squared thank you

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Question 149915: Multiply and simplify
y2-x2 . x+y
------- --------
x2+2xy+y2. x-y
the x2 and y2 are xsquared and y squared
thank you
Found 2 solutions by jim_thompson5910, vleith:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28y%5E2-x%5E2%29%2F%28x%5E2%2B2%2Ax%2Ay%2By%5E2%29%29%28%28x%2By%29%2F%28x-y%29%29 Start with the given expression.


Factor y%5E2-x%5E2 to get %28y-x%29%2A%28y%2Bx%29=-%28x-y%29%28x%2By%29.


Factor x%5E2%2B2%2Ax%2Ay%2By%5E2 to get %28x%2By%29%28x%2By%29.




%28-%28x-y%29%28x%2By%29%28x%2By%29%29%2F%28%28x%2By%29%28x%2By%29%28x-y%29%29 Combine the fractions.

Highlight the common terms.


Cancel out the common terms.


-1 Simplify.


So %28%28y%5E2-x%5E2%29%2F%28x%5E2%2B2%2Ax%2Ay%2By%5E2%29%29%28%28x%2By%29%2F%28x-y%29%29 simplifies to -1.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Before you start grinding out the algreba, make sure to look at factoring the terms in the expression. Then cancel what you can. Once you've done all the canceling, then think about dividing polynomials.
%28%28y%5E2+-+x%5E2%29%28x%2By%29%29%2F%28%28x%5E2%2B2xy%2By%5E2%29%28x-y%29%29
%28%28y+-x%29%28y%2Bx%29%28x%2By%29%29%2F%28%28x%2By%29%28x%2By%29%28x-y%29%29
%28%28y+-x%29%28x%2By%29%28x%2By%29%29%2F%28%28x%2By%29%28x%2By%29%28x-y%29%29
%28%28y+-x%29%29%2F%28%28x-y%29%29
-1%28x-y%29%2F%28x-y%29
-1