Question

a binary operation * defined on Q-( 1 ) is given by a*b=a+b-ab. Find the identity element.

Answer 1

hope this hlp.........

Answer 2

Answer:

The identity element of given binary operation is 0.

Step-by-step explanation:

According to the definition of identity, e is the identity element if

a*e=a=e*a

The given binary operation is defined as

a*b=a+b-ab

Let e be the binary element, then

$a*e=a$

$a+e-ae=a$

Subtract a from both the sides.

$e-ae=0$

$e(1-a)=0$

$e=0,a=1$

The value of a can not be equal 1 because the binary operation * defined on Q-( 1 ).

The value of e is 0, therefore the identity element of given binary operation is 0.