Find the inverse transforms of the following functions: (a) (F_{1}(s)=frac{16left(s^{2}+256 ight)}{sleft(s^{2}+8 s+32 ight)}) (b) (F_{2}(s)=frac{3left(s^{2}+20 s+400 ight)}{sleft(s^{2}+50

Find the inverse transforms of the following functions:

(a) \(F_{1}(s)=\frac{16\left(s^{2}+256\right)}{s\left(s^{2}+8 s+32\right)}\)

(b) \(F_{2}(s)=\frac{3\left(s^{2}+20 s+400\right)}{s\left(s^{2}+50 s+400\right)}\)