I'm working through an old algebra book as a refresher and I've come across what should be a simple polynomial division. The exercise prompts the reader to perform the following operation:
I started off by inverting the sign by instead multiplying by the reciprocal which results in:
I spent nearly 2 hours at this point trying everything my mind could conjure in terms of factoring, simplifying, and multiplying, but none of my attempts ever arrived at the listed answer:
If someone could help me through the steps required to solve this, you'll have taught a man to fish.