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Question Number 155618 by mathdanisur last updated on 02/Oct/21

$$\mathrm{if}\mathrm{x};\mathrm{y}\in \mathbb{R}\mathrm{and}{\mathrm{x}}^3+{\mathrm{y}}^3=16\mathrm{prove}\mathrm{that}:$$$${\mathrm{x}}^4+{\mathrm{y}}^4+{2\mathrm{x}}^2+{\mathrm{y}}^2⩾4\mathrm{x}+36$$

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