问题描述: 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). 1个回答 分类:数学 2014-11-16 问题解答: 我来补答 (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) 展开全文阅读