If c^2/(a+b) ^2, a^2/(b+c) ^2, b^2/(c+a) ^2 are in AP (arithmetic progression) then show that s-c/ (2s-c) ^2, s-a/ (2s-a) ^2, s-b/ (2s-b) ^2 are also in AP where a,b, c are sides of a triangle ABC and s is the semi-perimeter?
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