## APMO 2019 P5

Discussion on Asian Pacific Mathematical Olympiad (APMO)
samiul_samin
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Joined: Sat Dec 09, 2017 1:32 pm

### APMO 2019 P5

Determine all the functions $f : \mathbb{R} \to \mathbb{R}$ such that
$f(x^2 + f(y)) = f(f(x)) + f(y^2) + 2f(xy)$for all real numbers $x$ and $y$.

omi16
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Joined: Sun Dec 27, 2020 8:25 pm