cut up vs disunite

cut up is an adjective but disunite is not an adjective.

Word	Noun	Adjective	Verb	Adverb
cut up	No	Yes	Yes	No
disunite	No	No	Yes	No

As verbs, disunite is a hypernym of cut up; that is, disunite is a word with a broader meaning than cut up:

Other hypernyms of cut up include divide, part, separate.

cut up (adjective)	disunite (adjective)
cut into pieces

cut up (verb)	disunite (verb)
significantly cut up a manuscript	force, take, or pull apart
separate into isolated compartments or categories	part; cease or break association with
damage or injure severely
cut to pieces