Chapter 5.3, Problem 7P

In each of Problems 1 through 8, find the unknown constants in the given partial fraction expansion:

$\frac{8s^3-15s-s^5}{{\left(s^2+1\right)}^3}=\frac{a_{1}s+b_1}{s^2+1}+\frac{a_{2}s+b_2}{{\left(s^2+1\right)}^2}+\frac{a_{3}s+b_3}{{\left(s^2+1\right)}^3}$