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Question Number 203891 by York12 last updated on 02/Feb/24

Answered by sniper237 last updated on 01/Feb/24

The last factor should be ((c/(a+b))+(a/(b+c))) If so , Let named P that product Divide each factor by c,a,b resp P=(((a/c)/(1+b/c))+((b/c)/(1+a/c))).... P≥(((a+b)/c))(((b+c)/a))(((c+a)/b))≥((2(√(ab))2(√(bc))2(√(ca)))/(abc)) Then P≥8

Thelastfactorshouldbe(ca+b+ab+c)Ifso,LetnamedPthatproductDivideeachfactorbyc,a,brespP=(a/c1+b/c+b/c1+a/c)....P⩾(a+bc)(b+ca)(c+ab)⩾2ab2bc2caabcThenP⩾8

Commented by York12 last updated on 02/Feb/24

thanks sir

thankssir

Commented by York12 last updated on 02/Feb/24

Commented by York12 last updated on 02/Feb/24

P≥(((a+b)/c))(((b+c)/a))(((c+a)/b)) can you elaborate which inequality you used please , thanks in advance

P⩾(a+bc)(b+ca)(c+ab)canyouelaboratewhichinequalityyouusedplease,thanksinadvance

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