Let $a , b , c \in [0,1]$. Prove that $\frac{a}{1+bc}+\frac{b}{1+ac}+\frac{c}{1+ab} \leq2$.
Thanks Mark for your reply. I'm new to the group so I dont know how to deal with this . Anyways I tried assuming that $c=\max\{a,b,c\}$ .
I also tried applying AM-GM on $(1+bc)$ but I got no result.