(6) Define a binary operation ∗ on the set G = R^2 by (x, y) ∗(x', y') = (x + x', y + y'e^x)
(a) Show that (G, ∗) is a group. Specifically, prove that theassociative law holds, find the identity e, and find the inverse of(x, y) ∈ G.
(b) Show that the group G is not abelian.
(c). Show that the set H= (x*x=e) is a subgroup of G.
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