work vs work out

work is a noun but work out is not a noun.

Word	Noun	Adjective	Verb	Adverb
work	Yes	No	Yes	No
work out	No	No	Yes	No

As verbs, work and work out are synonyms defined as:

Other synonyms of work include exercise.

As verbs, work and work out are synonyms defined as:

work and work out: find the solution to (a problem or question) or understand the meaning of

Other synonyms of work include figure out, lick, puzzle out, solve.

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

Other hyponyms of work include exercise, work, computerise, computerize, cybernate, rack, exploit, overwork.

work (noun)	work out (noun)
activity directed toward making or doing something
the occupation for which you are paid
a product produced or accomplished through the effort or activity or agency of a person or thing
a place where work is done
the total output of a writer or artist (or a substantial part of it)
applying the mind to learning and understanding a subject (especially by reading)
(physics) a manifestation of energy; the transfer of energy from one physical system to another expressed as the product of a force and the distance through which it moves a body in the direction of that force

work (verb)	work out (verb)
give a workout to	do physical exercise
arrive at a certain condition through repeated motion	give a workout to
go sour or spoil	come up with
cause to undergo fermentation	work out in detail
find the solution to (a problem or question) or understand the meaning of	find the solution to (a problem or question) or understand the meaning of
use or manipulate to one's advantage	make a mathematical calculation or computation
to mix into a homogeneous mass	be calculated
perform as expected when applied	happen in a certain way, leading to, producing, or resulting in a certain outcome, often well
move into or onto
shape, form, or improve a material
cause to happen or to occur as a consequence
prepare for crops
make something, usually for a specific function
gratify and charm, usually in order to influence
proceed along a path
move in an agitated manner
provoke or excite
be employed
cause to work
exert oneself by doing mental or physical work for a purpose or out of necessity; work
have an effect or outcome; often the one desired or expected
operate in a certain place, area, or specialty
proceed towards a goal or along a path or through an activity
have and exert influence or effect
operate in or through
cause to operate or function
behave in a certain way when handled