wire-haired terrier vs wirehair

wire-haired terrier and wirehair both are nouns.

Word	Noun	Adjective	Verb	Adverb
wire-haired terrier	Yes	No	No	No
wirehair	Yes	No	No	No

As nouns, wire-haired terrier and wirehair are synonyms defined as:

Other synonyms of wire-haired terrier include wirehaired terrier.

wire-haired terrier (noun)	wirehair (noun)
a terrier with wiry hair	a terrier with wiry hair