racial extermination vs race murder

racial extermination and race murder both are nouns.

Word	Noun	Adjective	Verb	Adverb
racial extermination	Yes	No	No	No
race murder	Yes	No	No	No

As nouns, racial extermination and race murder are synonyms defined as:

racial extermination and race murder: systematic killing of a racial or cultural group

Other synonyms of racial extermination include genocide.

racial extermination (noun)	race murder (noun)
systematic killing of a racial or cultural group	systematic killing of a racial or cultural group