the purpose of the french expeditions was to establish a

Establishing themselves in Illinois and at Mobile, New Orleans, and Arkansas Post, French explorers traveled further into the interior of North America, opening relations with various tribes and also seeking a route to New Mexico to open trade with its Spanish inhabitants.

Explanation:

Background. The French first came to the New World as travelers, seeking a route to the Pacific Ocean and wealth. Major French exploration of North America began under the rule of Francis I, King of France.

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its main object was the establishment of "settlement houses" in poor urban areas, in which volunteer middle-class "settlement workers" would live, hoping to share knowledge and culture with, and alleviate the poverty of, their low-income neighbors.