rearing vs bringing up

rearing and bringing up both are nouns.

Word	Noun	Adjective	Verb	Adverb
rearing	Yes	Yes	No	No
bringing up	Yes	No	No	No

As nouns, rearing and bringing up are synonyms defined as:

rearing and bringing up: helping someone grow up to be an accepted member of the community

Other synonyms of rearing include breeding, fosterage, fostering, nurture, raising, upbringing.

rearing (noun)	bringing up (noun)
helping someone grow up to be an accepted member of the community	helping someone grow up to be an accepted member of the community
the properties acquired as a consequence of the way you were treated as a child

rearing (adjective)	bringing up (adjective)
rearing on left hind leg with forelegs elevated and head usually in profile