SE-SKOLORNAS 1971 Problem 1

Show that $\left(1 + a + a^2\right)^2 < 3\left(1 + a^2 + a^4\right)$ for real $a \neq 1$ .

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.