Answer:
When the spanish learned of La Salle's colony, they launched a "search and destroy" expedition to find the intruder and prevent future French claims in New Spain
Writing a constitution mirrored white society, and was an attempt to help Cherokees be accepted by whites.
For the Louisiana purchase question, it more than doubled the size of the united states. As for the second question I believe the answer would be "Thomas Jefferson was eager to explore the west to ensure the survival and prosperity of the United States"