Question

一道数学题化简求详细过程有图

Answer 1

解：(x根号x+x根号y)/(xy--y^2)--[x+(根号xy)+y]/(x根号x--y根号y)
=x(根号x+根号y)/y(根号x+根号y)(根号x--根号y)--[x+(根号xy)+y]/(根号x--根号y)[x+(根号xy)+y]
=x/y(根号x--根号y)--1/(根号x--根号y)
=(x--y)/y(根号x--根号y)
=(根号x+根号y)/y。

Answer 2

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

Answer 3

Answer 4

=(√x+√y)/y