erase vs cut out

erase is not an adjective while cut out is an adjective.

Word	Noun	Adjective	Verb	Adverb
erase	No	No	Yes	No
cut out	No	Yes	Yes	No

As verbs, cut out is a hyponym of erase; that is, cut out is a word with a more specific, narrower meaning than erase:

Other hyponyms of erase include sponge, scratch out.

erase (adjective)	cut out (adjective)
	having been cut out

erase (verb)	cut out (verb)
remove from memory or existence	delete or remove
wipe out digitally or magnetically recorded information	cease operating
remove by or as if by rubbing or erasing	intercept (a player)
	strike or cancel by or as if by rubbing or crossing out
	form and create by cutting out
	cut off and stop