A binary operation ⊕ ⊕ om real numbers is defined by x ⊕ ⊕ y = xy + x + y for two real numbers x and y. Find the value of 3 ⊕ ⊕ - 23 2 3 .

A binary operation $\oplus$ om real numbers is defined by x $\oplus$ y = xy + x + y for two real numbers x and y. Find the value of 3 $\oplus$ - $\frac{2}{3}$.

Answer Details

N + Y = XY + X + Y
3 + -$\frac{2}{3}$ = 3(- $\frac{2}{3}$) + 3 + (- $\frac{2}{3}$)
= -2 + 3 -$\frac{2}{3}$
= $\frac{1-2}{1-3}$
= $\frac{1}{3}$