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if a , b, c are in H.P prove that a^3 .b^3 + b^3 . c^3 +c^3 . a^3 =(9ac-6b^2)a^2 . c^2

if a , b, c are in H.P prove that a^3 .b^3 + b^3 . c^3 +c^3 . a^3 =(9ac-6b^2)a^2 . c^2

Grade:11

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
3 years ago
Dear student

Substitute b = (2ac/(a+c))

simplify LHS and RHS until they become equal

Regards

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