olymmath

USAMO 2004 Problem 5

  • Day 2

Let a,b,c>0a, b, c > 0 . Prove that (a5−a2+3)(b5−b2+3)(c5−c2+3)≥(a+b+c)3(a^5 - a^2 + 3)(b^5 - b^2 + 3)(c^5 - c^2 + 3) \geq (a + b + c)^3 .

Dataset text AI-MO AoPS. Quoted with source.

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