house of prostitution vs bordello

house of prostitution and bordello both are nouns.

Word	Noun	Adjective	Verb	Adverb
house of prostitution	Yes	No	No	No
bordello	Yes	No	No	No

As nouns, house of prostitution and bordello are synonyms defined as:

house of prostitution and bordello: a building where prostitutes are available

Other synonyms of house of prostitution include bagnio, bawdyhouse, brothel, cathouse, house of ill repute, sporting house, whorehouse.

house of prostitution (noun)	bordello (noun)
a building where prostitutes are available	a building where prostitutes are available