A binary operation ⊗ ⊗ is defined by m⊗n=mn+m−n m ⊗ n = m n + m − n on the set of real numbers, for all m, n ∈ ∈ R. Find the value of 3 ⊗ ⊗ (2 ⊗ ⊗ 4).

A binary operation $\otimes$ is defined by $m\otimes n=mn+m-n$ on the set of real numbers, for all m, n $\in$ R. Find the value of 3 $\otimes$ (2 $\otimes$ 4).

Answer Details

We are given the binary operation ⊗ defined by m⊗n = mn + m - n for all m, n in the set of real numbers R. So, to find the value of 3⊗(2⊗4), we need to evaluate each operation in the parentheses first: 2⊗4 = 2 * 4 + 2 - 4 = 6 Next, we evaluate 3⊗6: 3⊗6 = 3 * 6 + 3 - 6 = 15 Therefore, 3⊗(2⊗4) = 15.