Check the commutativity and associativity of * on `Q` defined by `a*b=a b+1` for all `a ,\ b in Q` .

Explanation

* is defined by `a`*`b=ab+1`
on the set `Q`

Then we have to check that * is associative and commutative or not .

Now let `a,b,c in Q`

Then

`(a`*`b)`*`c=(ab+1)`*`c`

`(a`*`b)`*`c= ((ab + 1)xxc) + 1`

`(a`*`b)`*`c= 1 + c +abc ldots (i)`

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