Question

Simplify.
1+ 2/y
-------
1-4/y^2

Answer 1

Multiply EVERY term by the LCD y^2 to get


(y^2+2y)/(y^2-4)


now simplify


(y^2+2y)/(y^2-4)


(y(y+2))/(y+2)(y-2)


y/(y-2)


So

(1+2/y)/(1-4/y^2) = y/(y-2)