cheddar vs cheddar cheese

cheddar and cheddar cheese both are nouns.

Word	Noun	Adjective	Verb	Adverb
cheddar	Yes	No	No	No
cheddar cheese	Yes	No	No	No

As nouns, cheddar and cheddar cheese are synonyms defined as:

cheddar and cheddar cheese: hard smooth-textured cheese; originally made in Cheddar in southwestern England

Other synonyms of cheddar include American cheese, Armerican cheddar.

cheddar (noun)	cheddar cheese (noun)
hard smooth-textured cheese; originally made in Cheddar in southwestern England	hard smooth-textured cheese; originally made in Cheddar in southwestern England