How did the punic wars affect this expansion?

Answer 1

Rome became dominant in the Western Mediterranean.

This success attracted the attention of states in the Eastern Mediterranean who sought Roman help in their own wars and so embroiled Rome in the Greek east, resulting in its expansion there as well.

Rome did not get involved in Greece because her success attracted attention there. She got embroiled in Greek affairs because she made alliances with Greek states during the Second Punic War. When she first got involved there, Hannibal was still routing the Roman armies in Italy.

Rome started the First Macedonian was against Macedon (the biggest and the dominant state in Greece) because Philip of Macedon had made an alliance with Hannibal and, especially, he wanted to conquer a part of Illyria just north of Greece and opposite the Italian coast on the other side of the Adriatic Sea. This threatened Roman interests in Illyria and Rome declared war and fought in Greece. During this war some Greek states became Roman allies. Rome got involved in three more wars in Greece because she was called for help by her allies during conflits between Greek states. When Rome fought a fifth war, she decided to annex Greece.

Answer 2

Expansion of what?