Question 111659
Out first step to simplify this equation is to factor out both the numorator and denomonator.

From x^2 - 3x - 10
We can factor (x + 3)(x - 5)

And from x^2 - x - 20
We can factor (x + 4)(x - 5)

Now, we have to look for factors which are shared by both the numorator and the denomonator.  Then, we may cancel them out.

(x - 5) is a common factor, so we may cross it out of both the top and bottom.  Since the rest is not common and thus cannoth be factored out, we leave them,

Out final answer is (x + 3)/(x + 4)