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Answer to Question #66814 in Abstract Algebra for Pushpa
Question #66814
Consider the set X=R\{-1}. Define * on X by
x1 * x2= x1+ x2+ x1x2 ¥ x1,x2 € X.
i) check whether (X,*) is a group or not.
ii) Prove that x*x*x*....*x (n times)=(1+x)n -1¥n€N and x€X
x1 * x2= x1+ x2+ x1x2 ¥ x1,x2 € X.
i) check whether (X,*) is a group or not.
ii) Prove that x*x*x*....*x (n times)=(1+x)n -1¥n€N and x€X
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