Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 6.1 National olympiad Prove it

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

Solution

None

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