Bad Lands vs Badlands

Bad Lands and Badlands both are nouns.

Word	Noun	Adjective	Verb	Adverb
Bad Lands	Yes	No	No	No
Badlands	Yes	No	No	No

As nouns, Bad Lands and Badlands are synonyms defined as:

Bad Lands and Badlands: an eroded and barren region in southwestern South Dakota and northwestern Nebraska

Other synonyms of Bad Lands include Badlands Wilderness.

Bad Lands (noun)	Badlands (noun)
an eroded and barren region in southwestern South Dakota and northwestern Nebraska	an eroded and barren region in southwestern South Dakota and northwestern Nebraska