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  • 因式分解:(x+y-2xy)(x+y-2)+(1-xy)2=_.

    因式分解:(x+y-2xy)(x+y-2)+(1-xy)2=______.
    數(shù)學人氣:496 ℃時間:2020-06-19 03:42:08
    優(yōu)質(zhì)解答
    (x+y-2xy)(x+y-2)+(1-xy)2
    =(x+y)2-2(1+xy)(x+y)+4xy+1-2xy+x2y2
    =(x+y)2-2(1+xy)(x+y)+(1+xy)2
    =(x+y)2-(1+xy)(x+y)-(1+xy)(x+y)+(1+xy)2
    =(x+y)(x+y-1-xy)-(1+xy)(x+y-1-xy)
    =(x+y-1-xy)(x+y-1-xy)
    =(x+y-1-xy)2
    故答案為:(x+y-1-xy)2
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