SOLUTION: Factor completely: {{{x^2y-4y-4+x^2}}}

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Question 168537: Factor completely: x%5E2y-4y-4%2Bx%5E2
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
Factor completely:
x%5E2y-4y-4%2Bx%5E2

Swap the last two terms:

x%5E2y-4y%2Bx%5E2-4

Factor y out of the first two terms:

y%28x%5E2-4%29%2Bx%5E2-4

Factor 1 out of the last two terms:

y%28x%5E2-4%29%2B1%28x%5E2-4%29

Factor out %28x%5E2-4%29

%28x%5E2-4%29%28y%2B1%29

Factor %28x%5E2-4%29

%28x-2%29%28x%2B2%29%28y%2B1%29

Edwin