Выполнить действия:
[tex] \frac{x+5y}{x+y} - \frac{x-y}{2y} : \frac{x^{2}-y^2}{4y^2} [/tex]

(x-y)/2y : (x²-y²)/4y²=(x-y)/2y*4y²/(x-y)(x+y)=2y/(x+y)(x+5y)/(x+y) -2y/(x+y)=(x+5y-2y)/(x+y)=(x+3y)/(x+y)