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Question Number 108270 by Muhsang S L last updated on 15/Aug/20

$$\mathrm{If}x,y,z>-1,\mathrm{show}\mathrm{that}\frac{1+x^2}{1+y+z^2}+\frac{1+y^2}{1+z+x^2}+\frac{1+z^2}{1+x+y^2}⩾2$$

Commented byudaythool last updated on 13/Sep/20

$$\mathrm{Do}\mathrm{you}\mathrm{know}\mathrm{the}\mathrm{proof}?$$ $${\mathrm{It}}^{\prime }\mathrm{s}\mathrm{very}\mathrm{interesting}\mathrm{problem}.$$

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