Question: Let G = { ( a , b ) : a , b element of R , a not equal to 0 } . Define

Let G ={(a,b): a,b element of R, a not equal to 0}. Define a binary operation * on G by (a,b)*(c,d)=(ac, b+d) for all (a,b),(c,d) element of G. Show that (G,*) is a group.

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