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  • 化簡:[(x×根號x+x×根號y)/(xy-y²)]-[(x+根號下xy+y)/(x×根號x-y×根號y)]

    化簡:[(x×根號x+x×根號y)/(xy-y²)]-[(x+根號下xy+y)/(x×根號x-y×根號y)]
    數(shù)學人氣:255 ℃時間:2019-08-19 18:17:58
    優(yōu)質解答
    [(x×根號x+x×根號y)/(xy-y²)]-[(x+根號下xy+y)/(x×根號x-y×根號y)]
    =(x√x+x√y)/(xy-y^2)-[x+√(xy)+y]/(x√x-y√y)
    =[x(√x+√y)/[y(√x-√y)(√x+√y)]-[x+√(xy)+y]/{(√x-√y)[x+√(xy)+y]}
    =x/[y(√x-√y)]-1/(√x-√y)
    =(x-y)/[y(√x-√y)]
    =(√x-√y)(√x+√y)/[y(√x-√y)]
    =(√x+√y)/y
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