# How do you simplify (2 + x - x^2)/(6 + 7x + x^2)?

Mar 25, 2017

$\frac{\left(- x + 2\right)}{\left(x + 6\right)}$

#### Explanation:

$\frac{2 + x - {x}^{2}}{6 + 7 x + {x}^{2}}$

$\therefore = \frac{- 1 \left(x - 2\right) \left({\cancel{x + 1}}^{\textcolor{red}{1}}\right)}{\left({\cancel{x + 1}}^{\textcolor{red}{1}}\right) \left(x + 6\right)}$

$\therefore = \frac{- 1 \left(x - 2\right)}{\left(x + 6\right)}$

$\therefore = \frac{\left(- x + 2\right)}{\left(x + 6\right)}$