SOLUTION: Polynomials and factoring x^2+3y+3x+xy

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Question 118530: Polynomials and factoring
x^2+3y+3x+xy
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2B3y%2B3x%2Bxy Start with the given expression

x%5E2%2B3x%2Bxy%2B3y Rearrange the terms

%28x%5E2%2B3x%29%2B%28xy%2B3y%29 Group like terms


x%28x%2B3%29%2By%28x%2B3%29 Factor out the GCF x out of the first group. Factor out the GCF y out of the second group


%28x%2By%29%28x%2B3%29 Since we have the common term x%2B3, we can combine like terms

So x%5E2%2B3y%2B3x%2Bxy factors to %28x%2By%29%28x%2B3%29