car care vs care

car care and care both are nouns.

Word	Noun	Adjective	Verb	Adverb
car care	Yes	No	No	No
care	Yes	No	Yes	No

As nouns, care is a hypernym of car care; that is, care is a word with a broader meaning than car care:

Other hypernyms of car care include maintenance, upkeep.

car care (noun)	care (noun)
keeping a car in good working order	activity involved in maintaining something in good working order
	the work of providing treatment for or attending to someone or something
	attention and management implying responsibility for safety
	judiciousness in avoiding harm or danger
	a cause for feeling concern
	an anxious feeling

car care (verb)	care (verb)
	to hope, to desire or to prefer to have something, or to do something
	feel concern or interest
	be concerned with
	be in charge of, act on, or dispose of
	provide care for