I have absolutely no idea how to do thsese kinds of problems and my teacher confuses me even more. Thanks for helping .

Thanks for your question, Jamie! I know how frustrated you must be with solving this type of problem. Let me give it a try ...

[(2r^{2}) + 1)]/r

= 2r^{2}/r + 1/r (distribute the r in the denominator to both terms)

= 2r + 1/r (the r's in the first term cancel)

I hope I've made this solution easy for you to understand. If I can help you answer similar questions, please let me know!