to drive away: to push or force someone or something out of where it belongs.
At its heart this word is about being forced out. A blow drives an axe head off its handle; a hunter drives a frightened animal off into the wild; a powerful man is shoved down from his place; and, above all, a whole people is driven off its land into exile. The same picture runs through every use: someone or something that was settled is pushed away to where it does not belong.
The Bible bends this one picture in three directions. Most often it describes God scattering Israel out of the land as punishment, so that the people become "the driven ones," the banished and the outcasts. But the prophets turn the same word into a promise: the God who drove them out is the very one who will gather his scattered ones home again. A second use is moral rather than geographic: to be driven away from the LORD, lured or pushed into worshiping other gods. A third use is plain and physical: to thrust, shove, or knock something loose.
These are shades of one idea, not separate words. Whether the object is a nation, a worshiper's loyalty, or an axe head, the action is the same forcing-away; only what gets driven, and where, changes.