SOLUTION: Factorize (a+b)^2+a+b

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Question 168094: Factorize
(a+b)^2+a+b
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%2Bb%29%5E2%2Ba%2Bb Start with the given expression


%28a%2Bb%29%5E2%2B%28a%2Bb%29 Group "a+b" in a parenthesis


Let z=a%2Bb


z%5E2%2Bz Replace each "a+b" with "z"


z%28z%2B1%29 Factor out the GCF "z"


%28a%2Bb%29%28a%2Bb%2B1%29 Plug in z=a%2Bb



So %28a%2Bb%29%5E2%2Ba%2Bb factors to %28a%2Bb%29%28a%2Bb%2B1%29