SOLUTION: Factorise X3-y3-2x+2y

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Question 880460: Factorise X3-y3-2x+2y
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E3-y%5E3-2x%2B2y


%28x%5E3-y%5E3%29%2B%28-2x%2B2y%29


%28x-y%29%28x%5E2%2Bxy%2By%5E2%29%2B%28-2x%2B2y%29 Use the difference of cubes factoring rule to factor x%5E3-y%5E3


%28x-y%29%28x%5E2%2Bxy%2By%5E2%29-2%28x-y%29


%28x%5E2%2Bxy%2By%5E2%29%28x-y%29-2%28x-y%29


%28x%5E2%2Bxy%2By%5E2-2%29%28x-y%29


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So x%5E3-y%5E3-2x%2B2y factors to %28x%5E2%2Bxy%2By%5E2-2%29%28x-y%29