因式分解：x^2-6x+y^2+6y-2xy+5

来源：学生作业学帮网编辑：学帮网时间：2024/06/01 04:17:07

x^2-6x+y^2+6y-2xy+5
=(x-y)^2-6(x-y)+5
=(x-y-5)(x-y-1)

x^2-6x+y^2+6y-2xy+5
=x^2-2xy+y^2-6x+6y+5
=(x-y)^2-6(x-y)+5
=(x-y-5)(x-y-1)

原式=（x-y-1）*(x-y-5)

x^2-6x+y^2+6y-2xy+5
=（x^2-2xy+y^2）+（6y-6x）+5
=(x-y)^2-6(x-y)+5
=(x-y-5)(x-y-1)

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