2021
Mathematics
67ca00ce0c643c71d77dee1f
If the binary operation ∗ is defined by m ∗ n = mn + m + n for any real number m and n, find the identity of the elements under this operation
A.
e = 1
B.
e = -1
C.
e = -2
D.
e = 0
Correct Answer: e = 0
Explanation
Identity(e) : a ∗ e = a m ∗ e = m...(i) m ∗ e = me + m + e Because m ∗ e = m : m = me + m + e m - m = e(m + 1) e = 0/(m + 1) e = 0
Identity(e) : a ∗ e = a m ∗ e = m...(i) m ∗ e = me + m + e Because m ∗ e = m : m = me + m + e m - m = e(m + 1) e = 0/(m + 1) e = 0THIS WEEK's
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