SOLUTION: Please help: how do I factor the following polynomial using any method? x^6 + 125 Thank you so much!

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Question 19917: Please help:
how do I factor the following polynomial using any method?
x^6 + 125
Thank you so much!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
First, recognise this as the sum of two cubes for which the factored form is:
A%5E3+%2B+B%5E3+=+%28A+%2B+B%29%28A%5E2+-+AB+%2B+B%5E2%29
x%5E6+%2B+125+=+%28x%5E2%29%5E3+%2B+5%5E3 So, A = x^2 and B = 5
x%5E6+%2B125+=+%28x%5E2+%2B+5%29%28x%5E4+-+5x%5E2+%2B+25%29