AZ-MO 2015 Problem 1

Let $a,b$ and $c$ be positive reals such that $abc=\frac{1}{8}$ .Then prove that $a^2+b^2+c^2+a^2b^2+a^2c^2+b^2c^2\ge\frac{15}{16}$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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