maxim vs axiom

maxim and axiom both are nouns.

Word	Noun	Adjective	Verb	Adverb
maxim	Yes	No	No	No
axiom	Yes	No	No	No

As nouns, maxim and axiom are synonyms defined as:

maxim (noun)	axiom (noun)
a saying that is widely accepted on its own merits	a saying that is widely accepted on its own merits
	(logic) a proposition that is not susceptible of proof or disproof; its truth is assumed to be self-evident