Question 9
Let $a, b, c$ be positive reals. Prove that
$$
\frac{a^{3}}{b c}+\frac{b^{3}}{c a}+\frac{c^{3}}{a b} \geq a+b+c
$$
$$
\frac{a^{3}}{b c}+\frac{b^{3}}{c a}+\frac{c^{3}}{a b} \geq a+b+c
$$
MathNet 2015-part-07 — 185 problems (EN–VI) Question 9
Math Olympiad Vault · MathNet 2015-part-07 — 185 problems (EN–VI)