give vs hand out

give is a noun but hand out is not a noun.

Word	Noun	Adjective	Verb	Adverb
give	Yes	No	Yes	No
hand out	No	No	Yes	No

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

give (noun)	hand out (noun)
the elasticity of something that can be stretched and returns to its original length

give (verb)	hand out (verb)
proffer (a body part)	give to several people
consent to engage in sexual intercourse with a man
occur
estimate the duration or outcome of something
dedicate
convey or communicate; of a smile, a look, a physical gesture
convey, as of a compliment, regards, attention, etc.; bestow
bestow
give entirely to a specific person, activity, or cause
allow to have or take
manifest or show
guide or direct, as by behavior of persuasion
inflict as a punishment
accord by verdict
submit for consideration, judgment, or use
offer in good faith
give food to
propose
be flexible under stress of physical force
give or supply
bring about
organize or be responsible for
cause to happen or be responsible for
perform for an audience
present to view
move in order to make room for someone for something
break down, literally or metaphorically
transfer possession of something concrete or abstract to somebody
give as a present; make a gift of
leave with; give temporarily
cause to have, in the abstract sense or physical sense
be the cause or source of
place into the hands or custody of
convey or reveal information
contribute to some cause
transmit (knowledge or skills)
endure the loss of
bestow, especially officially
deliver in exchange or recompense
give (as medicine)
give or convey physically
afford access to
emit or utter
execute and deliver