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Question Number 23425 by Bruce Lee last updated on 30/Oct/17

$$\mathit{a},\mathit{b},\mathit{c}>0\Rightarrow \frac{{\mathit{a}}^3+{\mathit{b}}^3+{\mathit{c}}^3}{(\mathit{a}+\mathit{b})(\mathit{b}+\mathit{c})(\mathit{c}+\mathit{a})}⩾\frac{3}{8}?$$

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