SOLUTION: factor the expression 4m^5+500m^2

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Question 244501: factor the expression 4m^5+500m^2
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Factor:
4m%5E5%2B500m%5E2 First, you'll notice that each term has a common factor of 4m%5E2 which can be factored out.
4m%5E2%28m%5E3%2B125%29 Now you'll notice that the parentheses contain a sum of two cubes which can also be factored thus: A%5E3%2BB%5E3+=+%28A%2BB%29%28A%5E2-AB%2BB%5E2%29, so we have:
highlight%284m%5E2%28m%2B5%29%28m%5E2-5m%2B25%29%29