数学题x^2-2xy+y^2-x+y-2因式分解,

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数学题x^2-2xy+y^2-x+y-2因式分解,数学题x^2-2xy+y^2-x+y-2因式分解,数学题x^2-2xy+y^2-x+y-2因式分解,x²-2xy+y²-x-y-2

数学题x^2-2xy+y^2-x+y-2因式分解,
数学题x^2-2xy+y^2-x+y-2因式分解,

数学题x^2-2xy+y^2-x+y-2因式分解,
x²-2xy+y²-x-y-2
=(x-y)²-(x-y)-2
=(x-y-2)(x-y+2)
先是 完全平方,再是十字相乘.

原式=(x-y)²-(x-y)-2
=(x-y-2)(x-y+1)