Question

Simplify the rational expression. state any excluded values.

x^2-3x-10/x+2

Answer 1

The answer to your question is x - 5 or x = 5

Explanation:

`(x^(2) -3x - 10)/(x + 2)`

1.- Factor the numerator

x² - 3x - 10

find 2 numbers that added equal -3 and multiply equal -10.

These numbers are -5 and + 2

(x - 5)(x + 2)

2.- Simplify

`((x - 5)(x + 2))/(x + 2))`

Delete (x +2) in both numerator and denominator

3.- Result x - 5

x = 5