Question: Let S = R-{-1}. (a) Show that if a, b e S, then a + b + ab S. (b) Explain why we can

Let S = R-{-1}. (a) Show that if a, b e S,

Let S = R-{-1}. (a) Show that if a, b e S, then a + b + ab S. (b) Explain why we can define a binary operation on S by a*b = a + b + ab. (c) Show that the binary operation is commutative. (d) Show that (S, *) is an abelian group.

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