SOLUTION: Factor out completely: (a+b)^3-(a-b)^3

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Question 1044228: Factor out completely:
(a+b)^3-(a-b)^3
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!


a%5E3%2B3a%5E2b%2B3ab%5E2%2Bb%5E3-%28a%5E3-3a%5E2b%2B3ab%5E2-b%5E3%29

a%5E3%2B3a%5E2b%2B3ab%5E2%2Bb%5E3-a%5E3%2B3a%5E2b-3ab%5E2%2Bb%5E3 which contains two pair of additive inverses

6a%5E2b%2B2b%5E3, now just two terms with some common factor

highlight%282b%283a%5E2%2Bb%5E2%29%29