SOLUTION: I need to put the following in the lowest terms 8t^3 + 27 and 27^3 + 1.

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Question 28074: I need to put the following in the lowest terms 8t^3 + 27 and 27^3 + 1.
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
8t%5E3%2B27 This is a sum of two cubes and can be factored thus:
A%5E3+%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29
8t%5E3%2B27+=+%282t%29%5E3%2B3%5E3 = %282t%2B3%29%284t%5E2-6t%2B9%29
27t%5E3%2B1+=+%283t%29%5E3%2B1%5E3 = %283t%2B1%29%289t%5E2-3t%2B1%29