Show that if the given expression is a perfect square, then a, b, c are in harmonic progression.

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If a, b, c are in harmonic progression show that (a+b)/(2a-b) + (c+b)/(2c-b) is greater than 4. If a, b, c are in harmonic progression show that (a+b)/(2a-b) + (c+b)/(2c-b) is greater than 4.
If a, b, c are in harmonic progression show square[b(a-c)] = 2{square[c(b-a)] + square[a(c-b)]}. If a, b, c are in harmonic progression show square[b(a-c)] = 2{square[c(b-a)] + square[a(c-b)]}.
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