Step-by-step explanation:
If they gained control over Albany, New York they also gained control over the Hudson River. This meant that they would cut off New England from the Middle Colonies.
British General Howe wanted to capture Philadelphia because it was home to the Continental congress.
General Burgoyne had several heavy wagons of luxury goods to carry.
The Green Mountain Boys prevented General Burgoyne's army from capturing supplies from an American supply base in Bennington, Vermont.
The American victory in the Battles of Saratoga helped persuade the French to recognize American independence and to openly provide military assistance. It also increased Gates’s popularity—so much so that he was being considered to replace George Washington as commander-in-chief of the Continental Army.
The Answers are not mine.
But I hope it helps