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

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

Algebra.Com

Question 876199: Factor the following using a step by step procedure: x^2+2xy+y^2+x+y
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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)
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