show off vs display

show off is not a noun while display is a noun.

Word	Noun	Adjective	Verb	Adverb
show off	No	No	Yes	No
display	Yes	No	Yes	No

As verbs, display is a hypernym of show off; that is, display is a word with a broader meaning than show off:

Other hypernyms of show off include exhibit, expose.

show off (noun)	display (noun)
	something shown to the public
	a visual representation of something
	an electronic device that represents information in visual form
	exhibiting openly in public view
	something intended to communicate a particular impression
	behavior that makes your feelings public

show off (verb)	display (verb)
display proudly; act ostentatiously or pretentiously	to show, make visible or apparent
	attract attention by displaying some body part or posing; of animals