House of Commons vs British House of Commons

House of Commons and British House of Commons both are nouns.

Word	Noun	Adjective	Verb	Adverb
House of Commons	Yes	No	No	No
British House of Commons	Yes	No	No	No

As nouns, House of Commons and British House of Commons are synonyms defined as:

House of Commons and British House of Commons: the lower house of the British parliament

House of Commons (noun)	British House of Commons (noun)
the lower house of the British parliament	the lower house of the British parliament