Question

数学分式化简（xy-y²）分之（y×根号x +x×根号y ） -（x×根号下x-y×根号下y）分之（x+根号下

Answer 1

（xy-y²）分之（y×根号x +x×根号y ） -（x×根号下x-y×根号下y）分之（x+根号下xy+y）

=(y√x+x√y)/(xy-y²)-(x+√xy+y)/(x√x-y√y)

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

=√x/√y(√x-√y)-1/(√x-√y)

=(√x-√y)/√y(√x-√y)

=1/√y

=√y/y