分解因式：x²-2xy+y²-2x+2y+1=

来源：学生作业帮助网编辑：作业帮时间：2024/05/07 17:43:21

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