Question 140
Let $a$, $b$, and $c$ be non-negative real numbers, no two of which are equal. Prove that
$$
\frac{a^2}{(b-c)^2} + \frac{b^2}{(c-a)^2} + \frac{c^2}{(a-b)^2} \gt 2.
$$
$$
\frac{a^2}{(b-c)^2} + \frac{b^2}{(c-a)^2} + \frac{c^2}{(a-b)^2} \gt 2.
$$