If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation

Correct Answer: Option B

Explanation:
m \(\ast\) n = mn + m + n
m \(\ast\) e = me + m + e, e \(\ast\) m = e
âˆ´ me + m + e, m(e + 1)e - e = 0
e + 1 = 0
âˆ´ e = -1

If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real ...