# Thread: Inequality

1. ## Inequality

Prove that if $a,b,c>0$ then $\frac {ab}{a^2+3b^2}+\frac {bc}{b^2+3c^2}+\frac {ac}{c^2+3a^2}\le \frac 34$.

2. Any ideas? I've tried putting $xyz=1$ with $x=\frac ab$...