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Let-a-b-c-R-such-that-a-b-c-1-Prove-that-b-c-16abc-




Question Number 198565 by tri26112004 last updated on 22/Oct/23
Let a,b,c ∈ R^+  such that a+b+c=1.   Prove that:    b+c≥16abc
$${Let}\:{a},{b},{c}\:\in\:{R}^{+} \:{such}\:{that}\:{a}+{b}+{c}=\mathrm{1}. \\ $$$$\:{Prove}\:{that}:\:\:\:\:{b}+{c}\geqslant\mathrm{16}{abc} \\ $$

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