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

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

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

因式分解（x+y-2xy)(x+y-2)+(xy-1)^2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

（x+y-2xy)(x+y-2)+(xy-1)^2
=(x+y)^2-2xy(x+y)-2(x+y)+4xy+(xy)^2-2xy+1
=(x+y)^2-2(x+y)(xy+1)+(xy+1)^2
=(x+y-xy-1)^2

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