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  • (x-1)/(x^2+3x+2)+(x+3)/(x^2+7x+12)

    (x-1)/(x^2+3x+2)+(x+3)/(x^2+7x+12)
    題目抄錯了、是(x+1)/(x^2+3x+2)+(x+3)/(x^2+7x+12)?。。。?!
    數(shù)學人氣:452 ℃時間:2020-06-17 03:31:05
    優(yōu)質(zhì)解答
    (x-1)/(x²+3x+2)+(x+3)/(x²+7x+12)
    =(x-1)/(x+1)(x+2)+(x+3)/(x+3)(x+4)
    =(x-1)/(x+1)(x+2)+1/(x+4)
    樓主沒抄錯題么?好吧。真抄錯了、是(x+1)/(x^2+3x+2)+(x+3)/(x^2+7x+12)(x+1)/(x²+3x+2)+(x+3)/(x²+7x+12)=(x+1)/(x+1)(x+2)+(x+3)/(x+3)(x+4)=(x+1)/(x+1)(x+2)+1/(x+4)=1/(x+2)+1/(x+4)=(x+4)+(x+2)/(x+2)(x+4)=(x²+2x+4x+8)/(x+2)(x+4)=(x²+6x+8)/(x+2)(x+4)=(x+2)(x+4)/(x+2)(x+4)=1
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