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

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 A = Q - {1} by the rule a**b=a-b+ab for all a, b in A . Also, find the identity element of * in A and hence find the invertible elements of A.

Discuss the commutativity and associativity of the binary operation * on R defined by a*b=(a b)/4 for all a ,b in R dot

Discuss the commutativity and associativity of the binary operation * on R defined by a*b=(ab)/(4) for all a,b in R

Test for commutative and associative of a binary operation on Z^(+) defined by a b= a^(b) .

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

Check the commutativity and associativity of * on Q defined by a*b=a-b for all a,b in Q

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

Let '*' be the binary operation defined on Q by the rule a * b = (ab)/(4) for all a , b in Q . Is the operaiton * associative?