Answer:
In theory, both styles promoted the equality of the common man, rejected Old World aristocracies, and saw the common farmer as the epitome of an American. However, the big difference between the two is that while Jeffersonian democracy disliked a strong federal government, Jacksonian democracy sought to increase the power of the presidency, in an attempt to bring the public into greater participation with the government.
I am only in middle school, so I am trying my best. Hope this helped!