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let-a-b-c-gt-0-a-b-c-3-prove-that-a-2-b-2-bc-c-2-b-2-c-2-ac-a-2-c-2-b-2-ba-a-2-6-2abc-5-3-a-2-b-2-c-2-7-Z-A-

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Question Number 164405 by Zaynal last updated on 16/Jan/22
let a, b, c > 0 ; a + b + c = 3 prove that; (a^2 /(b^2 + bc + c^2 )) + (b^2 /(c^2 + ac + a^2 )) + (c^2 /(b^2 +ba + a^2 )) 6 ≥ 2abc + (5/3) (a^2 + b^2 + c^2 ) ≥ 7 ^({Z.A})
leta,b,c>0;a+b+c=3provethat;a2b2+bc+c2+b2c2+ac+a2+c2b2+ba+a26⩾2abc+53(a2+b2+c2)⩾7{Z.A}

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