Chapter 5.3, Problem 8P

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

$\frac{s^3+3s^2+3s+1}{{\left(s^2+2s+5\right)}^2}=\frac{a_1\left(s+1\right)+b_1\cdot 2}{{\left(s+1\right)}^2+4}+\frac{a_2\left(s+1\right)+b_2\cdot 2}{{\left({\left(s+1\right)}^2+4\right)}^2}$