chase after vs chase

chase after is not a noun while chase is a noun.

Word	Noun	Adjective	Verb	Adverb
chase after	No	No	Yes	No
chase	Yes	No	Yes	No

As verbs, chase after and chase are synonyms defined as:

Other synonyms of chase after include dog, give chase, go after, tag, tail, track, trail.

As verbs, chase after and chase are synonyms defined as:

chase after (noun)	chase (noun)
	the act of pursuing in an effort to overtake or capture
	a rectangular metal frame used in letterpress printing to hold together the pages or columns of composed type that are printed at one time

chase after (verb)	chase (verb)
go after with the intent to catch	cut a groove into
pursue someone sexually or romantically	cut a furrow into a columns
	go after with the intent to catch
	pursue someone sexually or romantically