Find the sum and express in simplest form. Show all work:
x^2 2x-15
----- *------
x^2-9 x^2-9
*I don't get this at alll.Plz help me.
I assume you are trying to add, since the problem says "find the sum" and express in simplest form.
x^2/(x^2-9) + (2x-15)/(x^2-9)
You have a common denominator (x^2-9), so you can just add the numerators (top numbers) together.
Here's how it works out:
(x^2 + 2x - 15)/(x^2-9)
Can we simplify this further? Yes!
Let's factor both the numerator and denominator first:
(x + 5)(x - 3)/(x + 3)(x - 3)
You have a common factor in both the numerator and denominator. Cancel out that common factor to simplify.
That should be all you need to do!
so then will it turn out to be:
(x+5)/(x+3)
Correct!