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    • 因式分解x^2y^2-x^2-y^2+1

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    举报该问题
    推荐答案   2009-01-08
    x^2y^2-x^2-y^2+1
    =(x^2y^2-2xy+1)-(x^2-2xy+y^2)
    =(xy-1)^2-(x-y)^2
    =(xy-x+y-1)(xy+x-y-1)
    温馨提示：答案为网友推荐，仅供参考
    其他回答
    第1个回答  2009-01-08
    (x-1)(x+1)(y-1)(y+1)
    第2个回答  2009-01-09
    x^2y^2-x^2-y^2+1
    =x^2(y^2-1)-(y^2-1)
    =(x^2-1)(y^2-1)
    =(x+1)(x-1)(y+1)(y-1)
    第3个回答  2009-01-09
    x^2y^2-x^2-y^2+1
    =x^2(y^2-1)-(y^2-1)
    =(x^2-1)(y^2-1)
    =(x+1)(x-1)(y+1)(y-1)
    第4个回答  2020-03-05
    x^2
    -(y+1)^2
    =(x+y+1)(x-y-1)
    第5个回答  2020-05-19
    =x²-(y²+2y+1)=x²-(y+1)²=(x+y+1)(x-y-1)
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