Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.0 National olympiad Prove it

16. If $a, b, c$ are non-negative numbers, then
$4(a+b+c)^{3} \geqslant 27\left(a b^{2}+b c^{2}+c a^{2}+a b c\right)$

Solution

None

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