Question 3
For pairwise distinct real $a , b , c$, minimize $P = \frac{\left(a - b\right)^{4}}{\left(b - c\right)^{2} \left(c - a\right)^{2}} + \frac{\left(b - c\right)^{4}}{\left(c - a\right)^{2} \left(a - b\right)^{2}} + \frac{\left(c - a\right)^{4}}{\left(a - b\right)^{2} \left(b - c\right)^{2}}$.