化简(y根号x+x根号y)/(xy-y²)-(x+根号xy+y)/(x根号x-y根号y).
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化简(y根号x+x根号y)/(xy-y²)-(x+根号xy+y)/(x根号x-y根号y).
化简(y根号x+x根号y)/(xy-y²)-(x+根号xy+y)/(x根号x-y根号y).
化简(y根号x+x根号y)/(xy-y²)-(x+根号xy+y)/(x根号x-y根号y).
(y√x+x√y)/(xy-y²)-(x+√xy+y)/(x√x-y√y)
=√xy(√x+√y)/[y(√x+√y)(√x-√y)]-(x+√xy+y)/[(√x-√y)(x+√xy+y)]
=√xy/[y(√x-√y)]-1/(√x-√y)
=√xy/[y(√x-√y)]-y/[y(√x-√y)]
=(√xy-y)/[y(√x-√y)]
=√y(√x-√y)[y(√x-√y)]
=√y/y
用到的一个重要公式:x³-y³=(x-y)(x²+xy+y²)