(根号x-根号y)分之(x+y)-(x根号y-y根号x)分之(2xy)

问题描述:

(根号x-根号y)分之(x+y)-(x根号y-y根号x)分之(2xy)

=(x+y)/(√x-√y)-2xy/(x√y-y√x)
=(x+y)/(√x-√y)-2√(xy)/(√x-√y)
=[x-2√(xy)+y]/(√x-√y)
=(√x-√y)²/(√x-√y)
=√x-√y