分解因式(x+y-2xy)(x+y-2)(xy-1)平方=

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分解因式(x+y-2xy)(x+y-2)(xy-1)平方=分解因式(x+y-2xy)(x+y-2)(xy-1)平方=分解因式(x+y-2xy)(x+y-2)(xy-1)平方=设x+y=a,xy=b(a

分解因式(x+y-2xy)(x+y-2)(xy-1)平方=
分解因式
(x+y-2xy)(x+y-2)(xy-1)平方=

分解因式(x+y-2xy)(x+y-2)(xy-1)平方=
设x+y=a,xy=b
(a-2b)(a-2)+(b-1)^2
=a^2-2ab-2a+4b+b^2-2b+1
=a^2-2ab-2a+b^2+2b+1
=a^2-2ab+b^2-2a+2b+1
=(a-b)^2-2(a-b)+1
=(a-b-1)^2