trade balance vs balance of trade

trade balance and balance of trade both are nouns.

Word	Noun	Adjective	Verb	Adverb
trade balance	Yes	No	No	No
balance of trade	Yes	No	No	No

As nouns, trade balance and balance of trade are synonyms defined as:

trade balance and balance of trade: the difference in value over a period of time of a country's imports and exports of merchandise

Other synonyms of trade balance include trade gap, visible balance.

trade balance (noun)	balance of trade (noun)
the difference in value over a period of time of a country's imports and exports of merchandise	the difference in value over a period of time of a country's imports and exports of merchandise