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Check the commutativity and associati...

Check the commutativity and associativity of * on `Z` defined by `a*b=a+b+a b` for all `a ,\ b in Z` .

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* be defined on `Z` by `a`*`b=a+b-a b`, for all `a ,b in Z`
Then we have to check that
* is commutative as well as associative or not.
Then
`implies a`*`b=a+b+ab`
...
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