The partial fraction decomposition of the functions are
and

Writing out the form of the partial fraction decomposition of the function
From the question, we have the following parameters that can be used in our computation:

Expand and factorize
So, we have

In the denominator, we have that (x² + 6) is repeated
So, it will also be repeated when decomposed into partial fractions
So, we have

This means that

Next, we have

Expand and factorize
So, we have

The denominators are linear factors
So, we have

This means that

Hence, the partial fraction decomposition of the functions are
and
