BY-MO 2001 Problem 2

Prove for postitive $a$ and natural $n$ $a^n+\frac{1}{a^n}-2 \geq n^2(a+\frac{1}{a}-2)$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.