use vs use up

use is a noun but use up is not a noun.

Word	Noun	Adjective	Verb	Adverb
use	Yes	No	Yes	No
use up	No	No	Yes	No

As verbs, use and use up are synonyms defined as:

Other synonyms of use include consume, deplete, eat, eat up, exhaust, expend, run through, wipe out.

As verbs, use up is a hyponym of use; that is, use up is a word with a more specific, narrower meaning than use:

use (noun)	use up (noun)
the act of using
(psychology) an automatic pattern of behavior in reaction to a specific situation; may be inherited or acquired through frequent repetition
exerting shrewd or devious influence especially for one's own advantage
what something is used for
a particular service
(law) the exercise of the legal right to enjoy the benefits of owning property
(economics) the utilization of economic goods to satisfy needs or in manufacturing

use (verb)	use up (verb)
put into service; make work or employ for a particular purpose or for its inherent or natural purpose	use up (resources or materials)
take or consume (regularly or habitually)	require (time or space)
use up (resources or materials)
habitually do something or be in a certain state or place (use only in the past tense)
avail oneself to
seek or achieve an end by using to one's advantage