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Question Number 144421 by loveineq last updated on 25/Jun/21

$$\mathrm{Let}a,b,c>0\mathrm{and}a+b+c=3.\mathrm{Prove}\mathrm{that}$$ $$\frac{a^{2021}+b^{2021}+c^{2021}}{3}⩾1+\frac{4042}{3}(1-\frac{ab+bc+ca}{3})$$

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