SE-SKOLORNAS 1982 Problem 2

Show that $abc \geq (a+b-c)(b+c-a)(c+a-b)$ for positive reals $a$ , $b$ , $c$ .

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.