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Question Number 154372 by mathdanisur last updated on 17/Sep/21

$$\mathrm{If}\mathrm{a};\mathrm{b};\mathrm{c}>0\mathrm{and}{\mathrm{a}}^2+{\mathrm{b}}^2+{\mathrm{c}}^2=3$$$$\mathrm{Then}\mathrm{prove}\mathrm{that}:$$$$\mathrm{\Sigma }\frac{{\mathrm{a}}^3}{{\mathrm{b}}^2+\mathrm{b}+\mathrm{bc}}⩾1$$

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