Question

If $AB=A$ and $BA=B$ then $B^2$ is equal to

• A. $B$
• B. $A$
• C. $-B$
• D. $B^2$

Answer 1

The correct option is A $B$

We have,

$AB=A$ and $BA=B$

Since,

$B^2=B.B$

$B^2=\left(BA\right).B$

$B^2=B.\left(AB\right)$

$B^2=B.A$

$B^2=B$

Hence, this is the answer.