SOLUTION: For this problem I am asked to factor the polynomial. x^27+125=

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Question 77504: For this problem I am asked to factor the polynomial. x^27+125=
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
x%5E27+%2B+125 It looks quite formidable, doesn't it? But can you see this as the sum of two cubes?
%28x%5E9%29%5E3+%2B5%5E3
The sum of two cubes can be factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 Applying this to your problem, where: A+=+x%5E9 and B+=+5
x%5E27%2B125+=+%28x%5E9%2B5%29%28x%5E18-5x%5E9%2B25%29