Question

Pls help ASAP An operation * is defined on the set of real numbers R by a*b=a³+b³ -3ab for all a,b is an element of R. Is the Operation * commutative​

Answer 1

The operation is commutative

Explanation:

Operations

The * operation is defined on the set of real numbers R by

`a * b=a^3+b^3-3ab`

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

`b * a=b^3+a^3-3ba`

Rearranging:

`b * a=a^3+b^3-3ab`

It's apparent that a*b=b*a, thus the operation is commutative