x^2+y^2-2x-2y+2xy+1= 因式分解
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x^2+y^2-2x-2y+2xy+1= 因式分解
x^2+y^2-2x-2y+2xy+1= 因式分解
x^2+y^2-2x-2y+2xy+1= 因式分解
=x^2+2xy+y^2-2x-2y+1
=(x+y)²-2(x+y)+1
=(x+y-1)²
(x+y-1)^2
x^2+y^2-2x-2y+2xy+1
=x^2+2xy+y^2-2x-2y+1
=(x+y)^2-2(x+y)+1
=(x+y-1)^2
.(x+y-2)(x+y-2xy)+(xy-1)^2
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