SOLUTION: Factor the following using a step by step procedure: x^2+2xy+y^2+x+y

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Question 876199: Factor the following using a step by step procedure: x^2+2xy+y^2+x+y
Answer by jim_thompson5910(35256) About Me  (Show Source):
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x^2+2xy+y^2+x+y


(x^2+2xy+y^2)+x+y


(x+y)^2+x+y ... factor using the perfect square trinomial factoring rule


(x+y)^2+(x+y)


(x+y)(x+y)+1(x+y)


(x+y+1)(x+y)