[tex]1 - \frac{x + 2}{x - 2} [/tex]
[tex]x - 1 - \frac{3}{x - 3} [/tex]
[tex]x - \frac{1}{x - 2} - \frac{2x}{2 - x} [/tex]

1) (x-2-x-2)/(x-2)=-4/(x-2)

2) ((x^2-3x)-(x-3)-3)/(x-3)=(x^2-4x)/(x-3)

3) x +(2x-1)/(x-2)=(x^2-2x+2x-1)/(x-2)=(x^2-1)/(x-2)