USING MATLAB. Using various combinations of $G_1(s)$ and $G_2(s),$ find $G_3(s),G_4(s),$ and

$G_5(s).$ Various combinations imply mixing and matching $G_1(s)$ and $G_2(s)$ expressed as

factors and polynomials. For example, in finding $G_3(s),G_1(s)$ can be expressed in factored

form and $G_2(s)$ can be expressed in polynomial form. Another combination is $G_1(s)$ and

$G_2(s)$ both expressed as polynomials. Still another combination is $G_1(s)$ and $G_2(s)$ both

expressed in factored form.$|$

a$.G1(s)=\frac{20(s+2)(s+3)(s+6)(s+8)}{s(s+7)(s+9)(s+10)(s+15)},$ represented as a numerator polynomial divided by

a denominator polynomial.

b$.$ G$2($s$)=\frac{s^4+17s^3+99s^2+223s+140}{s^5+32s^2+363s^3+2092s^2+5052s+4320},$ expressed as factors in the numerator

divided by factors in the denominator, similar to the form of $G1(s)$ in Prelab $3$a$.$

c$.G3(s)=G1(s)+G2(s)$;$G4(s)=G1(s)-G2(s)$;$G5(s)=G1(s)G2(s)$ expressed as

factors divided by factors and expressed as polynomials divided by polynomials.