past times vs history

past times and history both are nouns.

Word	Noun	Adjective	Verb	Adverb
past times	Yes	No	No	No
history	Yes	No	No	No

As nouns, history is a hyponym of past times; that is, history is a word with a more specific, narrower meaning than past times:

past times (noun)	history (noun)
the time that has elapsed	the discipline that records and interprets past events involving human beings
	all that is remembered of the past as preserved in writing; a body of knowledge
	a record or narrative description of past events
	the aggregate of past events
	the continuum of events occurring in succession leading from the past to the present and even into the future