A Cyclic Difference Maximum

★ 7/10Extrema Substitution algebra inequality Symmetry

Problem

Nonnegative reals $a, b, c$ satisfy $a + b + c = 1$ . Find the maximum value of

a^2(b - c) + b^2(c - a) + c^2(a - b).

Answer

Solution

Difficulty	7/10
Topics	Extrema, Substitution, algebra, inequality, Symmetry

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