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1998 IMO Shortlist Problems/A3

Revision as of 01:29, 19 December 2021 by Bluesoul (talk | contribs) (Created page with "Let <math>x,y.z</math> be positive real numbers such that <math>xyz=1</math>. Prove that <math>\frac{x^3}{(1+y)(1+z)+\frac{y^3}{(1+x)(1+z)}+\fra{z^3}{(1+x)(1+y)}\geq \frac{3}{...")
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Let $x,y.z$ be positive real numbers such that $xyz=1$. Prove that $\frac{x^3}{(1+y)(1+z)+\frac{y^3}{(1+x)(1+z)}+\fra{z^3}{(1+x)(1+y)}\geq \frac{3}{4}$ (Error compiling LaTeX. Unknown error_msg)

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