if x,y,z>0 ; xy+yz+zx=1 prove that: xyz + (((1+x^3 )(1+y^3 )(1+z^3 )))^(1/3) ≥ 1


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Question Number 144600 by mathdanisur last updated on 26/Jun/21

$i f x, y, z > 0; x y + y z + z x = 1 p r o v e t h a t :$ $x y z + \sqrt[3]{(1 + x^{3}) (1 + y^{3}) (1 + z^{3})} ⩾ 1$
	Answered by mindispower last updated on 27/Jun/21

	$x, y, z > 0$ $o r o n l y z > 0$
	Commented bymathdanisur last updated on 27/Jun/21

	$T h a n k s S i r, h o w . . .$
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