What was accomplished by the Patriot victories at Trenton and Princeton?

The victories reasserted American control of much of New Jersey and greatly improved the morale and unity of the colonial army and militias.

Well, American victories at Trenton and Princeton were important because they ruined British plans for a quick end to the war and gave the Americans confidence they could stand up to British regulars in battle. It also encouraged people to enlist in the Continental Army. Good Luck!