How did European nations build empires in the Americas?

European nations built empires in the Americas through a combination of exploration, conquest, and colonization. They established settlements, claimed land, and exploited local resources, often using military force against Indigenous populations. The introduction of diseases, to which Native Americans had no immunity, significantly weakened these populations, facilitating European control. Additionally, European powers utilized trade networks and alliances with certain Indigenous groups to strengthen their foothold in the region.