SOLUTION: what is the factor of c^15+64

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Question 163218: what is the factor of c^15+64
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
c%5E15%2B64 Notice that: c%5E%2815%29+=+%28c%5E5%29%5E3 and 64+=+4%5E3 Make these substitutions.
%28c%5E5%29%5E3%2B4%5E3 You can see that you now have the sum of two cubes and the sum of two cubes can be factored thus:
A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29 where: A+=+c%5E5 and B+=+4, so...
c%5E15%2B64+=+highlight%28%28c%5E5%2B4%29%28c%5E10-4c%5E5%2B16%29%29