



 
Hi Rory, First factor the denominators, x^{2}64 and x^{2}6x16. This will show you how to write the two fractions with a common denominator. Do so, add the fractions and simplify. Writ back if you have any difficulty with the steps. Harley
As your title suggests, although what you are adding are rational functions not fractions, you use the same steps as in adding fractions.
Necessary steps:
Asa common denominator, you may always use the product of the original denominators. However, it it probably better to prepare by factoring them and then using the LCM: that is, the simplest polynomial with all the factors of both denominators. At the end, it is usual (and useful, and mandatory in some classrooms) to simplify and factor the numerator, and cancel any factors in common with the denominator. (These may well not have been present in the original rational functions.) Good Hunting!  


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