Find analytical expression of transfer function in frequency domain and magnitude frequency response

$G(s)=\frac{(s+3)(s+5)}{(s(s+2)(s+4))}$

a$.$

$G()=\frac{-2({}^2+13)-j({}^4+25{}^2+64)}{{}^5+20{}^3+120}$

$M()=\frac{\sqrt[\phantom{2}]{(2({}^2+13){)}^2+({}^4+25{}^2+64{)}^2}}{{}^5+20{}^3+120}$

b$.$

$G()=\frac{-2({}^2+13)-j({}^5+25{}^3+120)}{{}^4+20{}^2+64}$

$M()=\frac{\sqrt[\phantom{2}]{(2({}^2+13){)}^2+({}^5+25{}^3+120{)}^2}}{{}^4+20{}^2+64}$

c$.$

$G()=\frac{-2({}^2+13)-j({}^4+25{}^2+120)}{{}^5+20{}^3+64}$

$M()=\frac{\sqrt[\phantom{2}]{(2({}^2+13){)}^2+({}^4+25{}^2+120{)}^2}}{{}^5+20{}^3+64}$