2r^2+1/r (2r^2+1 is all divided by r)

Question

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

Answer 1

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

   [(2r²) + 1)]/r

= 2r²/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!

Answer 2

It appears the expression you're trying to show is this: (2*r^(2)+1)/r What is your question regarding this expression? If you need to simplify the expression, it can be done as follows: Every time you see an r in the numerator (the top part of the fraction: 2*r^(2) + 1), reduce the exponent above r by one in order to divide the numerator expression by r. So the exponent from r^(2) is a 2. It will become a 1, so you'll have r^(1), which is just r. For parts of the expression that don't have an r in them, such as the 1 in the numerator, you have to add an r in by writing it as the number divided by r. In reality, there is an r^(0) that we don't normally write next to these numbers. You can also follow the same rule I outlined above and subtract 1 from the exponent. This will give you r^(-1), which is the same as 1/r. The expression then reduces to 2r + (1)r^(-1) OR 2r + 1/r.