Yes
The benefits of the Louisiana purchase outweighed the drawbacks.
Most of the drawbacks consists of fairly unfriendly Indian tribes (but some were friendly), the time it took for people to start moving into the land, and the amount of money needed to pay for the area (which actually almost made the past US broke). The advantages was that the US land size nearly doubled, and they found a variety of new animals and resources, as well as good land for farming. The animals provided food, clothing, and even money from the meat and skin. (Ex. Buffalo).
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