Question 103
Find all functions $f: \mathbb{R} \to \mathbb{R}$ such that for all real numbers $x, y$,
$$f(x+y)^3 = (x+2y)f(x^2) + f(f(y))(x^2+3xy+y^2).$$
$$f(x+y)^3 = (x+2y)f(x^2) + f(f(y))(x^2+3xy+y^2).$$
MathNet 2024-part-05 — 168 problems (EN–VI) Question 103
Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)