partnership vs business concern

partnership and business concern both are nouns.

Word	Noun	Adjective	Verb	Adverb
partnership	Yes	No	No	No
business concern	Yes	No	No	No

As nouns, business concern is a hypernym of partnership; that is, business concern is a word with a broader meaning than partnership:

partnership: the members of a business venture created by contract
business concern: a commercial or industrial enterprise and the people who constitute it

Other hypernyms of partnership include business, business organisation, business organization, concern.

partnership (noun)	business concern (noun)
a contract between two or more persons who agree to pool talent and money and share profits or losses	a commercial or industrial enterprise and the people who constitute it
the members of a business venture created by contract
a cooperative relationship between people or groups who agree to share responsibility for achieving some specific goal