A binary operation * on N defined as `a ** b = a^(3) + b^(3)`, show that * is commutative but not associative.

Let * be a binary operation on N defined by a ** b = HCF of a and b. Show that * is both commutative and associative.

Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose the correct answer:Is ∗ commutative but not associative?

Let ** be binary operation on N defined by a ** b = HCF of a and b. Show that ** is both commutative and associative.

Let A = N xx N and ** be the binary operation on A defined by (a,b) ** (c,d) = (a + c, b+d) Show that ** is commutative and associative. Find the identity element for ** on A, if any.

Let A = N xx N and ** be the binary opertion on A defined by (a,b) ** (c,d) = (a + c, b+d) Show that ** is commutative and associative.

Let * be a binary operation on N defined by a*b = a^(b) for all a,b in N show that * is neither commutative nor associative

Let A = N xx N and ∗ be the binary operation on A defined by (a, b) * (c, d) = (a + c, b + d) Show that ∗ is commutative and associative. Find the identity element for ∗ on A, if any.

Let '*' be a binary operation on Q defined by a * b = (3ab)/5. Show that * is commutative as well as associative. Also, find its identity element, if it exists.

Let A = N×N and ⋅ be the binary operation on A defined by(a, b) ⋅(c, d) = (a + c, b + d) . Show that ⋅ is commutative and associative. Find the identity element for ⋅ on A, if any.

If A=N xx N and * is a binary operation on A defined by (a, b) ** (c, d)=(a+c, b+d) . Show that * is commutative and associative. Also, find identity element for * on A, if any.