Problem 40 *

Find all functions f: \mathbb R \to \mathbb R which satisfy f(x^3) + f(y^3) = (x + y)(f(x^2) + f(y^2) - f(xy)) for all real numbers x and y.

[originally posted by und on TSR]

1 Like

2 Likes

just realised I made a typo (wrote y^2 instead of y^3) but you spotted it, neat solution.

1 Like