Commonwealth of the Bahamas vs Bahama Islands

Commonwealth of the Bahamas and Bahama Islands both are nouns.

Word	Noun	Adjective	Verb	Adverb
Commonwealth of the Bahamas	Yes	No	No	No
Bahama Islands	Yes	No	No	No

As nouns, Commonwealth of the Bahamas and Bahama Islands are synonyms defined as:

Commonwealth of the Bahamas and Bahama Islands: island country in the Atlantic to the east of Florida and Cuba; a popular winter resort

Other synonyms of Commonwealth of the Bahamas include Bahamas.

Commonwealth of the Bahamas (noun)	Bahama Islands (noun)
island country in the Atlantic to the east of Florida and Cuba; a popular winter resort	island country in the Atlantic to the east of Florida and Cuba; a popular winter resort