Question

^{x^2-2x+2 devided by x+2}

Answer 1

$$x^2-2x+2=x^2+2x-4x-8+10$$

$$=x(x+2)-4(x+2)+10$$

$$\dfrac{x^2-2x-2}{b}=\dfrac{x(x+2)-4(x+2)+10}{x+2}$$

$$=x-4+\dfrac{10}{x+2}, x\not=-2$$