I'm trying to test whether or not I can simplify a function using Mathematica. At first glance it seems there is a dependency of $w$ on $R_0$, but I'm wondering if Mathematica can help me remove this. My code is:
nu0 = (rho0 - (k^2*mu0)/w^2);
nu1 = (rho1 - (k^2*c66)/w^2 + (k^2*c64^2)/(w^2*c44));
rhohat0 = -I*w*nu0;
rhohat1 = -I*w*nu1;
zeta0 = w*(nu0^.5/mu0^.5);
zeta1 = w*(nu1^.5/c44^.5);
R0 = (rhohat1*zeta0 - rhohat0*zeta1)/(rhohat0*zeta1 + rhohat1*zeta0)
where I'm trying to remove the $w$ dependancy in $R_0.$ Are there any commands in Mathematica which could help me?