Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.5 National olympiad Prove it

132. ("Home of Olympiad Math" website, username "You Cai" 2008. 08.04 provided, shfdfzhjj self-compiled question) Let $a, b, c \in \mathbf{R}$ , then
$\sum \frac{3 a^{4}+a^{2} b^{2}}{a^{3}+b^{3}} \geqslant 2 \sum a$

Equality holds if and only if $a=b$ .

Solution

None

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None

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