分式计算题：(x√x+x√y)/(xy-y2)-(+√xy+y）/(x√x-y√y)求解

题目

分式计算题：(x√x+x√y)/(xy-y2)-(+√xy+y）/(x√x-y√y)求解

答案

原式=[x(√x+√y)]/[y(x-y)]-[(√x)²+√x×√y+(√y)²]/[(√x)³-(√y)³]=[x(√x+√y)]/[y(√x+√y)(√x-√y)]-[(√x)²+√x×√y+(√y)²]/﹛(√x-√y)[(√x)²+√x×√y+(√y)...