From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
If we multiply the numerators and denominators together, we'll find ourselves in a horrible mess and won't be able to do anything. If we factor first, the problem turns into a much less nauseating beast in which several factors can cancel out. Yeah, that second one sounds good.
The first thing we do is factor. Then, the problem looks like this:
When we do the multiplication, lots of junk cancels out:
Our final answer is , which isn't that horrible at all. One might even say it's kind of pleasant. Just kidding! (Not kidding.)
First, we factor:
Then we write the polynomial as a fraction by introducing it to a denominator of 1. ("Polynomial, 1, 1, Polynomial. Oh, you've met.")
We change division to multiplication by the reciprocal and do any possible simplifying. Luckily, there's not much in this case.