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Question Number 164416 by HongKing last updated on 16/Jan/22

$$\mathrm{if}\mathrm{a};\mathrm{b};\mathrm{c}<0\mathrm{and}\mathrm{a}+\mathrm{b}+\mathrm{c}=3\mathrm{prove}\mathrm{that}:$$ $${(1+\frac{\mathrm{b}}{\mathrm{a}})}^{\frac{1}{{\mathbf{b}}^2}}\cdot {(1+\frac{\mathrm{c}}{\mathrm{b}})}^{\frac{1}{{\mathbf{c}}^2}}\cdot {(1+\frac{\mathrm{a}}{\mathrm{c}})}^{\frac{1}{{\mathbf{a}}^2}}⩾8$$

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