$\displaystyle \frac{x^2+1}{x-2}$\displaystyle \frac{x^2+1}{x-2}

$\displaystyle \frac{x+1}{2}$\displaystyle \frac{x+1}{2}

$\displaystyle \frac{x^2}{(x-2)^2}$\displaystyle \frac{x^2}{(x-2)^2}

$\displaystyle \frac{x+1}{x-2}$\displaystyle \frac{x+1}{x-2}