SOLUTION: how do you factor x^9-y^15? show steps please

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Question 677384: how do you factor x^9-y^15? show steps please
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E9-y%5E15

%28x%5E3%29%5E3-%28y%5E5%29%5E3

%28x%5E3-y%5E5%29%28%28x%5E3%29%5E2%2Bx%5E3y%5E5%2B%28y%5E5%29%5E2%29 Use the difference of cubes factoring rule.

%28x%5E3-y%5E5%29%28x%5E6%2Bx%5E3y%5E5%2By%5E%2810%29%29

So the final answer is %28x%5E3-y%5E5%29%28x%5E6%2Bx%5E3y%5E5%2By%5E%2810%29%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
factor x^9-y^15
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Write as a difference of cubes.
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(x^3)^3 - (y^5)^3
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Factor that difference of cubes:
(x^3-y^5)((x^3)^2 + (x^3)(y^5) + (y^5)^2
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= (x^3-y^5)(x^6 + x^3y^5 + y^10)
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Cheers,
Stan H.
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