Let * be a binary operation on setQ of rational numbers such that `a**b=(2a-b)^2:a,binQ` i.Find 3*5

Let ** be a binary operation on the set Q of rational numbers as follows a**b=(a-b)^2 . Is the binary operation commutative and associative ?

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a^2+b^2 . Is the binary operation commutative and associative ?

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a+ab . Is the binary operation commutative and associative ?

Let ** be a binary operation on the set Q of rational numbers as follows a**b=a-b . Check whether * is commutative and associative

Let ast be a binary operation on the set Q of rational numbers by aastb=2a+b . Find 2ast(3ast4) and (2ast3)ast4 .

Let ' ast ' is a binary operation on the set Q of rational numbers as follows, aastb=(a-b)^2 Check whether the binary operation are commutative and associative. Also find the identify element if exists.

Let ast be a binary operation on the set Q of rational numbers defined by aastb=frac(ab)(3) . Check whether ast is commutative and associative?

Let * be a binary operation on N , the set of all natural numbers defined by a * b = a^b , a, b in N . Is (N,*) associative or commutative?

Let ' ast ' is a binary operation on the set Q of rational numbers as follows, aastb=a^2+b^2 Check whether the binary operation are commutative and associative. Also find the identify element if exists.

Let ' ast ' is a binary operation on the set Q of rational numbers as follows, aastb=a-b Check whether the binary operation are commutative and associative. Also find the identify element if exists.