Consider the rational function $$F(s) = \displaystyle\frac{s^3 - 1}{(s^2 + 6)^2 (s+9)^2}.$$
Select ALL terms below that occur in the general form of the complete partial fraction decomposition of $F(s)$. The capital letters A, B, C, . . . , L denote constants.

A. $\displaystyle\frac{Ks+L}{(s+9)^2}$

B. $\displaystyle\frac{G}{s+9}$

C. $\displaystyle\frac{Bs+C}{s^2+6}$

D. $\displaystyle\frac{J}{(s+9)^2}$

E. $\displaystyle\frac{Hs+I}{s+9}$

F. $\displaystyle\frac{A}{s^2+6}$

G. $\displaystyle\frac{D}{(s^2+6)^2}$

H. $\displaystyle\frac{Es+F}{(s^2+6)^2}$