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1-abc-3-abc-1-a-1-b-1-c-if-a-b-c-gt-0-




Question Number 5498 by Yozzii last updated on 16/May/16
(1+abc)^3 ≥abc(1+a)(1+b)(1+c)   if a,b,c>0?
(1+abc)3abc(1+a)(1+b)(1+c)ifa,b,c>0?
Answered by Rasheed Soomro last updated on 17/May/16
Commented by Yozzii last updated on 17/May/16
In attempting that, I hoped that   the inequality was true, but I couldn′t  find a proof of it. Inequality proofs like these are not  a specialty of mine.
Inattemptingthat,Ihopedthattheinequalitywastrue,butIcouldntfindaproofofit.Inequalityproofslikethesearenotaspecialtyofmine.
Commented by Rasheed Soomro last updated on 17/May/16
I admit that your comment on Q#5380, in which you reached  accidently at the result given in this question and  whose screenshot is given here(sorry that I posted it   without reference) is not direct proof of your question  but it  may help to make proof.
You can't use 'macro parameter character #' in math modeaccidentlyattheresultgiveninthisquestionandwhosescreenshotisgivenhere(sorrythatIposteditwithoutreference)isnotdirectproofofyourquestionbutitmayhelptomakeproof.

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