Commutativity of binary operations

Discuss the commutativity of the binary operation * on R defined by a*b=a^2 b for all a,b in Rdot

Discuss the commutativity of the binary operation * on R defined by a * b=a-b+a b for all a , b in R , where on RHS we have usual addition, subtraction and multiplication of real numbers.

Discuss the commutativity and associativity of binary operation ** defined on ZZ by the rule a**b=|a|b for all a,binZZ .

Discuss the commutativity and associativity of binary operation * defined on Q by the rule a*b=a-b+a b for all a , b in Q

Discuss the commutativity and associativity of binary operation * defined on Q by the rule a*b=a-b+a b for all a , b in Q

Discuss the commutativity and associativity of binary operation * defined on Q by the rule a*b=a-b+a b for all a , b in Q

Discuss the commutativity and associativity of binary operation* defined on Q by the rule a*b=a-b+ab for all a,b in Q

Define a commutative binary operation on a set.

Define a commutative binary operation on a set.