brand name vs trade name

brand name and trade name both are nouns.

Word	Noun	Adjective	Verb	Adverb
brand name	Yes	No	No	No
trade name	Yes	No	No	No

As nouns, brand name and trade name are synonyms defined as:

Other synonyms of brand name include brand, marque.

brand name (noun)	trade name (noun)
a name given to a product or service	a name given to a product or service