Question 106
Find all functions $f : \mathbb{R} \to \mathbb{R}$ such that for all $x, y \in \mathbb{R}$,
$$
f(x + y)f(x^2 - xy + y^2) = x^3 + y^3.
$$
$$
f(x + y)f(x^2 - xy + y^2) = x^3 + y^3.
$$
MathNet 2019-part-03 — 184 problems (EN–VI) Question 106
Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)