Answer:
Dance is in the infinitive tense/form, and Dancing is in present participle form. They are also different because dancing has "-ing" and you are doing the action right now. While dance is a verb that hasn't been done, yet.
Example:
Dance: I am going to dance later tonight.
Dancing: She is dancing gracefully at her room.
Explanation:
(Hope it helps :D, #CarryOnLearning!!)
