2 methods used by the us to acquire territory

2 methods that the U.S. used to acquire territory would be:
-diplomatic negotiations. for example the U.S. telling the Panamanian leader that the U.S. would help them get their independence from Columbia, if Panama in turn, built the U.S. a canal.
-another method would be strategic warfare. for example when the U.S. gained the southwest area through their victory in the Mexican American war

Contributing factors  leading  to the harlem renaissance were the great migration of african americans to northern cities, which concentratedambitious  people in places where they could encourage each  other, and the first world war, which had created new industrial work opportunities for tens of thousands of people.