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If a, b, c are in G.P., show that a^(2...

If a, b, c are in G.P., show that
`a^(2)b^(2)c^(2)((1)/(a^(3))+(1)/(b^(3))+(1)/(c^(3))) = a^(3) + b^(3) + c^(3)`.

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