SOLUTION: I wanto ask a question.. can u help me to factorise this equation x^2-2xy+y^2+3x-3y+2

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Question 1041251: I wanto ask a question.. can u help me to factorise this equation
x^2-2xy+y^2+3x-3y+2
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

x%5E2-2xy%2By%5E2%2B3x-3y%2B2

Group the first three terms,
factor out 3 from the 4th and 5th terms:

%28x%5E2-2xy%2By%5E2%29%2B3%28x-y%29%2B2

Factorise the expression in the first parentheses
as the square of a binomial:

%28x-y%29%5E2%2B3%28x-y%29%2B2

Let u = (x-y)

u%5E2%2B3u%2B2

Factorise:

%28u%2B1%29%28u%2B2%29

Substitute x-y for u

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

Edwin