SOLUTION: Factor the Polynominal Completely. 729p^9 - 64

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Question 26661: Factor the Polynominal Completely.
729p^9 - 64
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Do you recognise this as the difference of two cubes?
729p%5E9+-+64 can be written:
%289p%5E3%29%5E3+-+4%5E3
The difference of two cubes can be factored:
A%5E3+-+B%5E3+=+%28A+-+B%29%28A%5E2+%2B+AB+%2B+B%5E2%29 Applying this to your expression, where: A+=+9p%5E3 and B+=+4
%289p%5E3%29%5E3+-+4%5E3+=+%289p%5E3+-+4%29%2881p%5E6+%2B+36p%5E3+%2B+16%29...and that's the best you can do.