olive branch vs peace offering

olive branch and peace offering both are nouns.

Word	Noun	Adjective	Verb	Adverb
olive branch	Yes	No	No	No
peace offering	Yes	No	No	No

As nouns, olive branch and peace offering are synonyms defined as:

olive branch and peace offering: something offered to an adversary in the hope of obtaining peace

olive branch (noun)	peace offering (noun)
something offered to an adversary in the hope of obtaining peace	something offered to an adversary in the hope of obtaining peace