Question #3bfb7

1 Answer
Jun 21, 2017

(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!