Let ** be an operation defined on R by a...

Let `` be an operation defined on R by `ab=a+b+2ab`. Show that `**` is a binary operation on R. examine commutatively, associatively and existence of identity. Find the elements, if any, which have inverses.

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Let `` be an operation defined on R by `ab=a+b+2ab`. Show that `**` is a binary operation on R. examine commutatively, associatively and existence of identity. Find the elements, if any, which have inverses.