# 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]

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

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