Question 11
$$
\frac{a^2 + bc}{b+c} + \frac{b^2 + ca}{c+a} + \frac{c^2 + ab}{a+b} \geq a+b+c
$$
for all positive real numbers $a$, $b$, $c$.
\frac{a^2 + bc}{b+c} + \frac{b^2 + ca}{c+a} + \frac{c^2 + ab}{a+b} \geq a+b+c
$$
for all positive real numbers $a$, $b$, $c$.