  We consider $(1+ 8)$- and $(1+10)$-dimensional Einstein-Gauss-Bonnet models
with the cosmological $\Lambda$-term. Some new examples of exact solutions with
three constant Hubble-like parameters in this model are obtained, governed by
three non-coinciding Hubble-like parameters: $H \neq 0$, $h_1$ and $h_2$,
obeying $m H + k_1 h_1 + k_2 h_2 \neq 0$, corresponding to factor spaces of
dimensions $m\geqslant 3$, $ k_1 > 1$ and $ k_2\geqslant 1$. In this case, the
multidimensional cosmological model deals with three factor spaces: the
external 3-dimensional "our" world and internal subspaces with dimensions $
(m-3)$, $k_1$ and $k_2$.
