olymmath

INMO 2002 Problem 3

    Let x,yx, y be positive reals such that x+y=2x+y=2. Prove that

    x3y3(x3+y3)≤2x^{3} y^{3}\left(x^{3}+y^{3}\right) \leq 2

    Dataset text NuminaMath olympiads. Quoted with source.

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