First, since we are subtracting fractions, we are going to want to find a common denominator between the terms we are subtracting. In this case, , , and are very different terms, meaning that we are going to have to multiply both fractions by the terms they are missing in the denominators.
The term does not have an in the denominator, meaning that we are going to need to multiply both the numerator and the denominator of the fraction by . We have to multiply it by both the numerator and the denominator to keep the fraction similar to its prior form. Doing this results in:
In the second term which is being subtracted, the denominator is absent of the and terms, meaning that we will have to multiply both the numerators and denominators of the fraction by these terms to give the second fraction a like denominator:
Using these terms, our subtraction problem looks like this:
We can now use our common denominator to simplify this problem to just one fraction:
Now, using our algebraic operations, we can simplify this fraction into something more manageable:
Our simplified expression would be:
(Keep in mind that this is the same exact expression, represented in a different way. This means that there are many, many ways to represent the original expression, but this one is one that I feel very well simplifies the original problem.)