Answer:
The primary motivation for exploration in the Americas that was shared by the English, Dutch, and French was challenging Spanish commercial interests.
Step-by-step explanation:
The exploration in the Americas initially came by accident, as the goal was to find a new waterway to India. The first (in that particular period) that came to the Americas were the Spanish, and after they realized that they discovered new continents, they rushed to take over it and exploit it as much as possible. The news quickly spread across Europe and the other countries that had imperial aspirations were quick to react.
The English, Dutch, and French were afraid of the new discovery by Spain, as they knew that if the Spanish manage to take control over most of it they will find themselves in a very bad situation very soon. Very quickly expeditions were organized and colonists were sent to immediately take hold of the places that they reach, and by doing so, they hoped that they will manage to get enough to be able to challenge the Spanish commercial interests and not allow a monopoly on the global market.