SOLUTION: 9p^6-72p^3 factor each polynomial. state prime if needed.

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Question 63056: 9p^6-72p^3
factor each polynomial. state prime if needed.

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
9p%5E6+-+72p%5E3 Factor out 9p%5E3
9p%5E3%28p%5E3-8%29 Notice that the %28p%5E3-8%29 is the difference of two cubes: %28p%29%5E3+-+2%5E3 which can be factored.
9p%5E3%28p-2%29%28p%5E2%2B2p%2B4%29...and we're done!