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If-x-y-z-then-prove-the-following-inequality-x-2-2-y-2-2-z-2-2-9-xy-yz-xz-




Question Number 120847 by Jamshidbek2311 last updated on 03/Nov/20
If x,y,z  then prove the following  inequality  (x^2 +2)(y^2 +2)(z^2 +2)=9(xy+yz+xz)
$${If}\:{x},{y},{z}\:\:{then}\:{prove}\:{the}\:{following} \\ $$$${inequality} \\ $$$$\left({x}^{\mathrm{2}} +\mathrm{2}\right)\left({y}^{\mathrm{2}} +\mathrm{2}\right)\left({z}^{\mathrm{2}} +\mathrm{2}\right)=\mathrm{9}\left({xy}+{yz}+{xz}\right) \\ $$
Commented by Jamshidbek2311 last updated on 03/Nov/20
sorry not =     ≥
$${sorry}\:{not}\:=\:\:\:\:\:\geqslant \\ $$

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