Question

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

Answer 1

`1/(x+5)`

Explanation:

at first do factorization of `x^2+3x-10`,
`x^2+5x-2x-10`
`x(x+5)-2(x+5)`
`(x+5)(x-2)`

now put `(x+5)(x-2)` at the given equation,
`cancel(x-2)/((x+5)cancel((x-2)) )`

we finally get,
`1/(x+5)`