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  • 計算,

    計算,
    12/(m²-9)-2/(m-3)
    ((x²-4)/(x²-4x+4)-(x-2)/(x+2))÷x/(x-2)
    數(shù)學(xué)人氣:279 ℃時間:2020-06-24 19:20:29
    優(yōu)質(zhì)解答
    12/(m²-9)-2/(m-3)
    =12/(m+3)(m-3)-2(m+3)/(m+3)(m-3)
    =(12-2m-6)/(m+3)(m-3)
    =-2(m+3)/(m+3)(m-3)
    =-2/(m-3)
    ((x²-4)/(x²-4x+4)-(x-2)/(x+2))÷x/(x-2)
    =[(x+2)(x-2)/(x-2)²-(x-2)/(x+2)]×(x-2)/x
    =[(x+2)(x-2)/(x-2)²-(x-2)/(x+2)]×(x-2)/x
    =[(x+2)/(x-2)-(x-2)/(x+2)]×(x-2)/x
    =[(x+2)²-(x-2)²]/(x+2)(x-2)×(x-2)/x
    =4x/(x+2)(x-2)×(x-2)/x
    =4/(x+2)
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