Hi there , i have the following problam , and i sort of got stuck in the middle

anyways i have a system of 2 differential equations so here it is

y'=y-10z

z'=y-z+3cos(2t)

seems fairly simple , anyways i reached a point where i have Z(s) and Y(s) via laplace transfrom and well , got a bit stuck with it. so to save you time

Y(s) = (s^3 + S^2 -26s +4)/((s^2 + 4)(s^2 + 9))

Z(s) = (2s^2 - 3s +4)/((s^2 +4)(s^2 + 9))

i am fairly sure of the Y(s) and Z(s) i've recieved so anyone kind enough to help , might as well skip the middle part of reaching those two. anyways my request is a way to simplify Y(s) and Z(s) to the point where i can do L^-1[Y(s)] and L^-1[Z(s)] and ofc the way it was done. help would be much appriciated.