Найдите значение выражения xy-x^2-2y+2x при x=2 2/3; y=3 2/3.

\[xy - x^{2} - 2y + 2x = y(x - 2) - x \cdot\]

\[\cdot (x - 2) = (x - 2)(y - x)\]

\[при\ x = 2\frac{2}{3};\ \ y = 3\frac{2}{3}:\]

\[\left( 2\frac{2}{3} - 2 \right)\left( 3\frac{2}{3} - 2\frac{2}{3} \right) = \frac{2}{3} \cdot 1 = \frac{2}{3}.\]