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

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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. 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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a To show that if a b S then a b ab S we need to prove that the expression a b ab satisfies the defi... View the full answer