prove-a-3-b-3-c-3-3abc-a-b-c-0-

Question Number 8991 by Chantria last updated on 11/Nov/16

p r o v e

a^{3} + b^{3} + c^{3} ⩾ 3 a b c; \forall a, b, c ⩾ 0

Answered by aydnmustafa1976 last updated on 14/Nov/16

A . M ⩾ G . M (a^{3} + b^{3} + c^{3}) / 3 ⩾ {(a^{3} . b^{3} . c^{3})}^{1 / 3}