If-x-y-z-gt-1-show-that-1-x-2-1-y-z-2-1-y-2-1-z-x-2-1-z-2-1-x-y-2-2-

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

If x, y, z > - 1, show 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 by udaythool last updated on 13/Sep/20

Do you know the proof ?

{It}^{'} s very interesting problem .