ZA-SAMO 2010 Problem 2

Consider a triangle $ABC$ with $BC = 3$ . Choose a point $D$ on $BC$ such that $BD = 2$ . Find the value of $AB^2 + 2AC^2 - 3AD^2.$

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.