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OMCPLP 2025 Problem 1

  • Day 1

Dados números reais x,yx, y e zz, prove que 4x(y+z)(xy+xz+yz)+y2z2≥04x(y + z)(xy + xz + yz) + y^2z^2 \geq 0.

Official text Lusophon Mathematical Olympiad 2025 official paper, page 1. Quoted with source.

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