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Question

If a, b, c >0, then prove that 3ab+4bc+16c3a12.

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Solution

WE know that for a finite number of real terms
A.M G.M
Consider the term to be 3ab,4bc,!6c3a
A.M =3ab+4bc+16c3a3
G.M =33ab+4bc+16c3a=4
A.M G.M
3ab+4bc+16c3a12

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