If `a ** b = 4a^(2) + 6b^(2)` be a binary operations on Q, then verify that `**` is not commutative.

* be a binary operation on Q,defined as a**b=(3ab)/5 .Show that *is commutative.

Show that the binary operation * on Z defined by a*b= 3a+7b is not commutative.

Show that the binary operation * on Z defined by a*b=3a+7b is not commutative.

Let * be a Binary operation defined on N by a ** b = 2^(ab) . Prove that * is commutative.

Let '**' be a binary operation on Q defined by : a**b=(2ab)/(3) . Show that '**' is commutative as well as associative.

Let ** be binary operation on N given by a ** b = LCM of a and b. Find Is ** commutative

Let ** be a binary operation on the set Q of rational numbers as follows : a "*" b = a^(2) +b^(2) Find which of the binary operations are commutative and which are associative.

Let * be a binary operation on Zdefined by a*b=a+b- 15 for a,binZ . Show that *is commutative

Let ** be a binary operation on the set Q of rational numbers as follows : a "*" b = (a-b)^(2) Find which of the binary operations are commutative and which are associative.

Let ** be the binary operation on Q define a**b = a + ab . Is ** commutative ? Is ** associative ?