SOLUTION: divide x^3-y^3 by x-y

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Question 151382: divide x^3-y^3 by x-y

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E3-y%5E3%29%2F%28x-y%29 Start with the given expression.


%28%28x-y%29%28x%5E2%2Bxy%2By%5E2%29%29%2F%28x-y%29 Factor x%5E3-y%5E3 to get %28x-y%29%28x%5E2%2Bxy%2By%5E2%29


%28highlight%28%28x-y%29%29%28x%5E2%2Bxy%2By%5E2%29%29%2Fhighlight%28%28x-y%29%29 Highlight the common terms.


%28cross%28%28x-y%29%29%28x%5E2%2Bxy%2By%5E2%29%29%2Fcross%28%28x-y%29%29 Cancel out the common terms.


x%5E2%2Bxy%2By%5E2 Simplify.


So %28x%5E3-y%5E3%29%2F%28x-y%29 simplifies to x%5E2%2Bxy%2By%5E2


In other words, %28x%5E3-y%5E3%29%2F%28x-y%29=x%5E2%2Bxy%2By%5E2 where x%3C%3Ey