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Question Number 157561 by MathSh last updated on 24/Oct/21

$$\mathrm{if}\mathrm{a};\mathrm{b};\mathrm{c}\mathrm{and}\mathrm{a}+\mathrm{b}+\mathrm{c}⩾3\mathrm{prove}\mathrm{that}:$$ $$\mathrm{\Sigma }\frac{{\mathrm{a}}^3}{\mathrm{b}+\mathrm{kbc}}⩾\frac{3}{1+\mathrm{k}};\mathrm{k}>0$$

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