SOLUTION: please help me with this problem: Multiply (a+b)(a^2+ab+b^2)

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Question 166715: please help me with this problem:
Multiply (a+b)(a^2+ab+b^2)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
please help me with this problem:
Multiply (a+b)(a^2+ab+b^2)
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= a*(a^2+ab+b^2) + b*(a^2+ab+b^2)
= a^3 = a^2b + ab^2 + a^2b + ab^2 + b^3
collect terms
= a^3 + 2a^2b + 2ab^2 + b^3