计算:{x√x+x√y / xy-y²}-{x+√xy+y / x√x-y√y}

问题描述:

计算:{x√x+x√y / xy-y²}-{x+√xy+y / x√x-y√y}

[(x^3 x^2y)/(x^2y-y^3)]-{[x(x-y)]/(xy x^2)}-[(2xy)/(x^2-y^2)] 解:原式=[x^2(x y)/y(x y)(x-y))]-[x(x-y)]

原式=x(√x+√y)/y(√x+√y)(√x-√y)-(x+√xy+y)/(√x-√y)(x+√xy+y)
=x/y(√x-√y)-y/y(√x-√y)
=(√x+√y)/y