(xy-x-y+1)^2因式分解(xy-x-y+1)^2怎么分解成 (x-1)^2(y-1)^2要具体!

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(xy-x-y+1)^2因式分解(xy-x-y+1)^2怎么分解成 (x-1)^2(y-1)^2要具体!
(xy-x-y+1)^2因式分解
(xy-x-y+1)^2
怎么分解成 (x-1)^2(y-1)^2
要具体!

(xy-x-y+1)^2因式分解(xy-x-y+1)^2怎么分解成 (x-1)^2(y-1)^2要具体!
xy-x-y+1
=x(y-1)-(y-1)
=(x-1)(y-1)
(xy-x-y+1)^2
=(x-1)^2(y-1)^2

(xy-x-y+1)^2=[x(y-1)-(y-1)]^2=[(x-1)(y-1)]^2