Question 15
Determine all integers $x, y$ satisfying the equation
$$
(y^3 + xy - 1)(x^2 + x - y) = (x^3 - xy + 1)(y^2 + x - y).
$$
$$
(y^3 + xy - 1)(x^2 + x - y) = (x^3 - xy + 1)(y^2 + x - y).
$$
MathNet 2012 Question 15
Math Olympiad Vault · MathNet 2012