divide vs carve up

divide is a noun but carve up is not a noun.

Word	Noun	Adjective	Verb	Adverb
divide	Yes	No	Yes	No
carve up	No	No	Yes	No

As verbs, divide and carve up are synonyms defined as:

Other synonyms of divide include dissever, separate, split, split up.

divide (noun)	carve up (noun)
a ridge of land that separates two adjacent river systems
a serious disagreement between two groups of people (typically producing tension or hostility)

divide (verb)	carve up (verb)
perform a division	separate into parts or portions
move or break apart
force, take, or pull apart
make a division or separation
separate into parts or portions
act as a barrier between; stand between