Question 2
Solve in integers the equation
$$x^2+xy+y^2 = \left(\frac{x+y}{3}+1\right)^3.$$
Proposed by Titu Andreescu (credited by Evan Chen).
$$x^2+xy+y^2 = \left(\frac{x+y}{3}+1\right)^3.$$
Proposed by Titu Andreescu (credited by Evan Chen).