show vs display

show and display both are nouns.

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

As nouns, display is a hyponym of show; that is, display is a word with a more specific, narrower meaning than show:

show: an act or social event involving a public performance or entertainment
display: something shown to the public

As nouns, show and display are synonyms defined as:

show and display: something intended to communicate a particular impression

As verbs, display is a hyponym of show; that is, display is a word with a more specific, narrower meaning than show:

show (noun)	display (noun)
an act or social event involving a public performance or entertainment	something shown to the public
pretending that something is the case in order to make a good impression	a visual representation of something
something intended to communicate a particular impression	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 (verb)	display (verb)
establish the validity of something, as by an example, explanation or experiment	to show, make visible or apparent
provide evidence for	attract attention by displaying some body part or posing; of animals
indicate a place, direction, person, or thing; either spatially or figuratively
give expression to
give evidence of, as of records
indicate a certain reading; of gauges and instruments
finish third or better in a horse or dog race
show in, or as in, a picture
take (someone) to their seats, as in theaters or auditoriums
make visible or noticeable
be or become visible or noticeable
give an exhibition of to an interested audience