What does it mean for the universe to be "expanding"?
Our universe is undergoing a continuous outward expansion as a function of time, so that as time goes by, distant galaxies move farther and farther away from us.
This leads to an obvious question: Are we the center of the Universe? No! This is because the distance between every galaxy is increasing, there is no central position in the universe about which things are moving outward from. If we go back in time, the Hubble relation suggests the universe was much smaller then.