Two binary operations ∗ ∗ and ⊕ ⊕ are defines as m ∗ ∗ n = mn - n - 1 and m ⊕ ⊕ n = mn + n - 2 for all real numbers m, n. Find the value of 3 ⊕ ⊕ (4 ∗ ∗ 50)

Two binary operations $\ast$ and $\oplus$ are defines as m $\ast$ n = mn - n - 1 and m $\oplus$ n = mn + n - 2 for all real numbers m, n.

Find the value of 3 $\oplus$ (4 $\ast$ 50)

Answer Details

m $\ast$ n = mn - n - 1, m $\oplus$ n = mn + n - 2
3 $\oplus$ (4 $\ast$ 5) = 3 $\oplus$ (4 x 5 - 5 - 1) = 3 $\oplus$ 14
3 $\oplus$ 14 = 3 x 14 + 14 - 2
= 54