Question

Question #3bfb7

Answer 1

`(x-2)/x`

Explanation:

First of all, this expression can be written in easier terms to understand.

Instead of: `(x^2+3x-10)-:(x^2-5x)`

Write: `(x^2+3x-10)/(x^2-5x)`

The goal of this expression is to simplify as much as possible, and you can do that by canceling out factors. First, factor both the numerator and denominator.

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

Then cancel out like factors.

`(x-2)/x`

Since there are no more like factors, this expression is in its simplest form!

Your final answer is `(x-2)/x`!