# How do you simplify (x-2)/(x^2+3x-10)?

Apr 10, 2018

$\frac{1}{x + 5}$

#### Explanation:

at first do factorization of ${x}^{2} + 3 x - 10$,
${x}^{2} + 5 x - 2 x - 10$
$x \left(x + 5\right) - 2 \left(x + 5\right)$
$\left(x + 5\right) \left(x - 2\right)$

now put $\left(x + 5\right) \left(x - 2\right)$ at the given equation,
$\frac{\cancel{x - 2}}{\left(x + 5\right) \cancel{\left(x - 2\right)}}$

we finally get,
$\frac{1}{x + 5}$