SOLUTION: Factor Completely 3x^6-3y^6

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Question 952131: Factor Completely
3x^6-3y^6

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E6-3y%5E6
3%28x%5E6-y%5E6%29
3%28%28x%5E3%29%5E2-%28y%5E3%29%5E2%29
3%28x%5E3-y%5E3%29%28x%5E3%2By%5E3%29...........since x%5E3-y%5E3=%28x-y%29%28x%5E2%2Bxy%2By%5E2%29, we have
3%28x-y%29%28x%5E2%2Bxy%2By%5E2%29%28x%5E3%2By%5E3%29........since x%5E3%2By%5E3=%28x%2By%29%28x%5E2-xy%2By%5E2%29, we have
3%28x-y%29%28x%5E2%2Bxy%2By%5E2%29%28x%2By%29%28x%5E2-xy%2By%5E2%29
3%28x-y%29%28x%2By%29%28x%5E2%2Bxy%2By%5E2%29%28x%5E2-xy%2By%5E2%29