trade name vs brand name

trade name and brand name both are nouns.

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

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

Other synonyms of trade name include brand, marque.

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