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a-b-c-0-a-b-c-2-Prove-that-3a-8ab-16abc-12-




Question Number 194691 by CrispyXYZ last updated on 13/Jul/23
a, b, c≥0, a+b+c=2. Prove that  3a+8ab+16abc≤12.
$${a},\:{b},\:{c}\geqslant\mathrm{0},\:{a}+{b}+{c}=\mathrm{2}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\mathrm{3}{a}+\mathrm{8}{ab}+\mathrm{16}{abc}\leqslant\mathrm{12}. \\ $$

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