if a^2 +2bc, b^2+ 2bc, c^2+ 2ab are in ap prove that 1/b-c, 1/c-a ,1/a-b are in ap

if a^2 +2bc, b^2+ 2bc, c^2+ 2ab are in ap prove that 1/b-c, 1/c-a ,1/a

1.	if a^2 +2bc, b^2+ 2bc, c^2+ 2ab are in ap prove that 1/b-c, 1/c-a ,1/a-b are in ap
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