cutting out vs extirpation

cutting out and extirpation both are nouns.

Word	Noun	Adjective	Verb	Adverb
cutting out	Yes	No	No	No
extirpation	Yes	No	No	No

As nouns, cutting out and extirpation are synonyms defined as:

Other synonyms of cutting out include ablation, excision.

cutting out (noun)	extirpation (noun)
surgical removal of a body part or tissue	surgical removal of a body part or tissue
	the act of pulling up or out; uprooting; cutting off from existence