FCSymmetrize[expr, {a1, a2, ...}]
symmetrizes expr with
respect to the variables a1,a2, ...
.
[f[a, b], {a, b}] FCSymmetrize
\frac{1}{2} (f(a,b)+f(b,a))
[f[x, y, z], {x, y, z}] FCSymmetrize
\frac{1}{6} (f(x,y,z)+f(x,z,y)+f(y,x,z)+f(y,z,x)+f(z,x,y)+f(z,y,x))