"The man and the woman dance."
Translation:남자와 여자가 춤을 춥니다.
They are the same. Note that there's no space in 춤추다, not to mention 을 is removed. When you want to qualify 춤 with an adjective or talk about a specific dance, you can't say 춤추다 as 춤 in it is no longer a separate noun but only a part of the verb.
빠른 춤을 추다 (to dance a fast dance)
탱고를 추다 (to dance the tango)