What prompted france to sign a formal alliance with the colonies during the american revolution?

The answer is D. The colonial victory at the Battle of Saratoga.

This victory proved to France that the colonies actually have a chance at winning the war, leading them to sign a formal alliance with them.

yes based on alexanders actions he deserved the title of "the great". his empire covered about 3,000 miles and he was able to establish the empire over a 13 year period of time. he was able to conquer many different places. he also defeated the persians. he conquered egypt and developed a city and named it after himself.