In intransitive terms the difference between progress and expand
is that
progress is to improve; to become better or more complete while
expand is to feel generous or optimistic.
In transitive terms the difference between progress and expand
is that
progress is to move (something) forward; to advance, to expedite while
expand is to express (something) at length and/or in detail.
As a noun progress
is movement or advancement through a series of events, or points in time; development through time.