VTMO 2015 — Grade 8 — final Question 2

For pairwise distinct $a , b , c$, simplify $\frac{\frac{1}{\left(a - b\right)^{2}} + \frac{1}{\left(b - c\right)^{2}} + \frac{1}{\left(c - a\right)^{2}}}{\left[\frac{1}{a - b} + \frac{1}{b - c} + \frac{1}{c - a}\right]^{2}}$.