olymmath

MEMO 2018 T1

    Let a,ba,b and cc be positive real numbers satisfying abc=1.abc=1. Prove that a2−b2a+bc+b2−c2b+ca+c2−a2c+ab≤a+b+c−3.\frac{a^2-b^2}{a+bc}+\frac{b^2-c^2}{b+ca}+\frac{c^2-a^2}{c+ab}\leq a+b+c-3.

    Dataset text AI-MO AoPS. Quoted with source.

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