The three G's, God, Glory, and Gold. They could spread their beliefs and society (God) to whomever they encountered, making them "less savage," they would gain glory just for conquering new lands and expanding their empires, and they could achieve riches by taking the lands they found for their own personal use and resource collection.
Raise fundamentals about some stuff
Answer: Saratoga gave France the confidence in the American cause to enter the war as an American ally.