分解因式:x²-2xy+y²-2x+2y+1=

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分解因式:x²-2xy+y²-2x+2y+1=
分解因式:x²-2xy+y²-2x+2y+1=

分解因式:x²-2xy+y²-2x+2y+1=
x²-2xy+y²-2x+2y+1
=(x-y)^2-2(x-y)+1
=(x-y-1)^2

x²-2xy+y²-2x+2y+1
=(x-y)^2-2(x-y)+1
=(x-y-1)^2

x²-2xy+y²-2x+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