Question 101
Let $a$, $b$, $c$ be distinct positive real numbers such that $abc = 1$. Prove that
$$
\sum_{\text{cyclic}} \frac{a^6}{(a-b)(a-c)} \gt 15.
$$
$$
\sum_{\text{cyclic}} \frac{a^6}{(a-b)(a-c)} \gt 15.
$$
MathNet 2017-part-03 — 176 problems (EN–VI) Question 101
Math Olympiad Vault · MathNet 2017-part-03 — 176 problems (EN–VI)