A Schur-Like Inequality

★ 8/10Schur's Inequality algebra inequality Symmetry

Problem

Let $a, b, c > 0$ with $a + b + c = 1$ . Prove that

a^2 + b^2 + c^2 + 9abc \ge 2(ab + bc + ca).

Answer

Solution

Difficulty	8/10
Topics	Schur's Inequality, algebra, inequality, Symmetry

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