Prove that each of the following sets, with the indicated operation, is an abelian group. (a) (R, *) with the operation x * y = x+y+c for each x, y € R, where c ER is a constant. xy (b) (R*, *) with the operation x * y = for each x, y ER*. 2 (c) (R \ {-1}, *) with the operation x * y = x + y + xy for each x, y ≤ R \ {-1}.

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