分解因式:x^2-2xy+y^2-2x+2y+1

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分解因式:x^2-2xy+y^2-2x+2y+1

x^2-2xy+y^2-2x+2y+1
=(x-y)^2-2(x-y)+1
=(x-y-1)^2

原式=(x-y)^2-2(x-y)+1
=(x-y-1)^2

x^2-2xy+y^2-2x+2y+1
=(x-y)^2-2(x-y)+1
=(x-y-1)^2

x^2-2xy+y^2-2x+2y+1 =(x-y)^2-2(x-y)+1=(x-y-1)^2

用双十字相乘法
原式=(y-x+1)²