Monica1668idn
Answered

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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​

Sagot :

Elcharly64idn

Answer:

The operation is commutative

Step-by-step explanation:

Operations

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

[tex]a * b=a^3+b^3-3ab[/tex]

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

Computing b*a:

[tex]b * a=b^3+a^3-3ba[/tex]

Rearranging:

[tex]b * a=a^3+b^3-3ab[/tex]

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

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