Let * be a binary operation defined by a*b = 3a+4b-2 find 4*5

Let ** be a binary operatiion defined by a**b=3a+4b-2 .Find 4**5 ?

Let ** on the set integers I be a binary operation defined by a**b=3a+4b-2 . Find 4**5 .

Let ""^(**) be a binary operation on Q, defined by a^(**)b=(3ab)/(5) . Show that ""^(**) is commutative, if it exists.

Let A=NxxN and let ** be a binary operation on A defined by (a,b)**(c,d)=(a+c,b+d) . Show that ** is commutative and associative.

Let ** be an operation defined on R by a**b=a+b+2ab . Show that ** is a binary operation on R. examine commutatively, associatively and existence of identity. Find the elements, if any, which have inverses.

Is the binary operation ** defined by Q by a**b=(a+b)/2 for all a,b in Q commutative and associative?

Does the operation * defined below on the given set represent a binary operation? : a**b=a+4b^2 on R