SOLUTION: please help me factor this problem!! (x+y)^2+3(x+y)+2

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Question 57770: please help me factor this problem!!
(x+y)^2+3(x+y)+2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2By%29%5E2%2B3%28x%2By%29%2B2
Let P=(x+y)
Then:
P%5E2%2B3P%2B2 That is a more familiar looking quadratic equation.
(P___)(P____) we need to fill the blanks with two numbers that multiply to give you +2, but add to give you +3.
2*1=2, but 2+1=3
(P+2)(P+1) But P=(x+y), so...
((x+y)+2)((x+y)+1)
(x+y+2)(x+y+1)
Happy Calculating!!!