Question 2
(HUN) Denote by $a,b,c$ the lengths of the sides of a triangle. Prove that
$$a^2(b+c-a)+b^2(c+a-b)+c^2(a+b-c)\le3abc.$$
$$a^2(b+c-a)+b^2(c+a-b)+c^2(a+b-c)\le3abc.$$
IMO 1964 - Official Contest Problems Question 2
IMO · IMO 1964 - Official Contest Problems