$\displaystyle \frac{x^2+15x+1}{\left(x-2\right)\left(x+3\right)}$\displaystyle \frac{x^2+15x+1}{\left(x-2\right)\left(x+3\right)}

$\displaystyle \frac{x+2}{\left(x-2\right)\left(x+3\right)}$\displaystyle \frac{x+2}{\left(x-2\right)\left(x+3\right)}

$\displaystyle \frac{x}{\left(x-2\right)\left(x+3\right)}$\displaystyle \frac{x}{\left(x-2\right)\left(x+3\right)}

$\displaystyle \frac{x+2}{-5}$\displaystyle \frac{x+2}{-5}