SOLUTION: Factor the following: xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2

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Question 1164305: Factor the following: xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
xy(xy+1)+(xy+3)-2(x+y+1/2)-(x+y-1)^2

x²y²+xy+xy+3-2x-2y-1-(x²+y²+1+2xy-2x-2y+1)

x²y²+xy+xy+3-2x-2y-1-x²-y²-1-2xy+2x+2y-1)

x²y²-x²-y²+1

x²(y²-1)-(y²-1)

x²(y²-1)-1(y²-1)

(y²-1)(x²-1)

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

Alphabetical order:

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

Edwin