Heb. goyim, “nations,” here the nations of Canaan. Throughout this section the idea is emphasized that victory over the enemy was won, not by the strength of Israel, but by the intervention of God.
Them.
That is, the children of Israel.
The people.
That is, the nations of Canaan.
Cast them out.
Rather, “set them free,” that is, the children of Israel. The double parallelism may be illustrated by the following paraphrase:
Thou didst drive out the nations of Canaan with thy hand,
And plantedst the children of Israel;
Thou didst afflict the people of Canaan, And set free the children of Israel.