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  • 計(jì)算:(x-1)/(x^2 + 3x + 2) + 6/(2 + x - x^2) - (10-x)/(4-x^2)

    計(jì)算:(x-1)/(x^2 + 3x + 2) + 6/(2 + x - x^2) - (10-x)/(4-x^2)
    答案好象是0
    數(shù)學(xué)人氣:470 ℃時(shí)間:2020-05-11 01:04:45
    優(yōu)質(zhì)解答
    (x-1)/(x^2 + 3x + 2) + 6/(2 + x - x^2) - (10-x)/(4-x^2)
    =(x-1)/(x+1)(x+2)-6/(x-2)(x+1)-(10-x)/(x+2)(x-2)
    =[(x-1)(x-2)-6(x+2)-(10+x)(x+1)]/(x+1)(x+2)(x-2)
    =(x^2-3x+2-6x-12-10x-10-x^2-x)/(x+1)(x+2)(x-2)
    =(-20-20x)/(x+1)(x+2)(x-2)
    =-20(1+x)/(x+1)(x+2)(x-2)
    =-20/(x+2)(x-2)
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