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  • 分式的乘除計(jì)算:

    分式的乘除計(jì)算:
    (1)m/m²-1·m²+m/m²;
    (2)x-2/3-x·x²-6x+9/x²-4;
    (3)3x-6/x²-4÷x+2/x²+4x+4;
    (4)x²-2x+1/x²-1÷x-1/x²+x.
    數(shù)學(xué)人氣:298 ℃時(shí)間:2020-02-05 11:52:32
    優(yōu)質(zhì)解答
    (1)[m/(m²-1)](m²+m)/m²=m²/(m²-1)](m+1)/m²=1/(m-1)
    (2)[(x-2)/(3-x)][(x²-6x+9)/(x²-4)]
    =[(x-2)/(3-x)][(x-3)²)/(x+2)(x-2)]
    =-[(x-2)(x-3)(x+3)]/[(x-3)(x+2)(x-2)]
    =-(x+3)/(x-2)
    (3)(3x-6)/(x²-4)÷(x+2)/(x²+4x+4)
    =[3(x-2)/(x²-4)][(x+2)²/(x+2)]
    ={3(x-2)(x+2)²}/[(x-2)(x+2)²]
    =3
    (4)(x²-2x+1)/(x²-1)÷(x-1)/(x²+x.)
    =[(x-1)²x(x+1)]/[(x+1)(x-1)²]
    =x
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