Question 41
Out of three expressions $\frac{x}{y}$, $\frac{x^2+4}{y^2+4}$ and $\frac{x^3+8}{y^3+8}$, for some integer $x, y$, two take the same value, and the remaining one takes a different value. For which pairs of integers $x, y$ is this possible?
(Bogdan Rublyov)
(Bogdan Rublyov)