SOLUTION: multiply (a+b)(a2+ab+b2) Key a2 = a squared b2 = b squared

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Question 166709: multiply (a+b)(a2+ab+b2)
Key
a2 = a squared
b2 = b squared
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2Bb%29%28a%5E2%2Bab%2Bb%5E2%29 Start with the given expression.


a%28a%5E2%2Bab%2Bb%5E2%29%2Bb%28a%5E2%2Bab%2Bb%5E2%29 Expand.


a%28a%5E2%29%2Ba%28ab%29%2Ba%28b%5E2%29%2Bb%28a%5E2%29%2Bb%28ab%29%2Bb%28b%5E2%29 Distribute.


a%5E3%2Ba%5E2b%2Bab%5E2%2Bb%2Aa%5E2%2Bab%5E2%2Bb%5E3 Multiply.


2a%5E3%2B2a%5E2b%2B2ab%5E2%2Bb%5E3 Combine like terms.


So %28a%2Bb%29%28a%5E2%2Bab%2Bb%5E2%29 expands to 2a%5E3%2B2a%5E2b%2B2ab%5E2%2Bb%5E3.


In other words, %28a%2Bb%29%28a%5E2%2Bab%2Bb%5E2%29=2a%5E3%2B2a%5E2b%2B2ab%5E2%2Bb%5E3.