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(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)/y(x-y)-((x+√xy+y)/((√x)^3-(√y)^3))
=(y√x+x√y)/y(x-y)-((x+√xy+y)/((√x-√y)((x+√xy+y)))
=(y√x+x√y)/(x-y)-(1/(√x-√y))
=((y√x+x√y)-y(√x+√y))/y(x-y)
=(y√x+x√y-y√x-y√y))/y(x-y)
=(x-y)√y/y(x-y)
=√y/y
=(y√x+x√y)/y(x-y)-((x+√xy+y)/((√x)^3-(√y)^3))
=(y√x+x√y)/y(x-y)-((x+√xy+y)/((√x-√y)((x+√xy+y)))
=(y√x+x√y)/(x-y)-(1/(√x-√y))
=((y√x+x√y)-y(√x+√y))/y(x-y)
=(y√x+x√y-y√x-y√y))/y(x-y)
=(x-y)√y/y(x-y)
=√y/y
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