Chapter 3, Problem 3.7E

Expand each of the following s-domain functions into partial fractions:
a. $Y\left(s\right)=\frac{6\left(s+1\right)}{s^2\left(s+1\right)}$
b. $Y\left(s\right)=\frac{12\left(s+2\right)}{s\left(s^2+9\right)}$
c. $Y\left(s\right)==\frac{\left(s+2\right)\left(s+3\right)}{\left(s+4\right)\left(s+5\right)\left(s+6\right)}$
d. $Y\left(s\right)=\frac{1}{{\left[{\left(s+1\right)}^2+1\right]}^2\left(s+2\right)}$