(x+y-2xy)(x+y-2)+(1-xy)^2记x+y=axy=b

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(x+y-2xy)(x+y-2)+(1-xy)^2记x+y=axy=b
(x+y-2xy)(x+y-2)+(1-xy)^2
记x+y=a
xy=b

(x+y-2xy)(x+y-2)+(1-xy)^2记x+y=axy=b
(x+y-2xy)(x+y-2)+(1-xy)^2
=(a-2b)(a-2)+(1-b)^2
=a^2-2ab-2a+4b+(1-b)^2
=a^2-2a(b+1)+4b+b^2-2b+1
=a^2-2a(b+1)+(b+1)^2
=(a-b-1)^2
=(x+y-xy-1)^2

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