Will H. | Math / Computer Science Tutor and Vocal CoachMath / Computer Science Tutor and Vocal ...

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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.