homework vs schoolwork

homework and schoolwork both are nouns.

Word	Noun	Adjective	Verb	Adverb
homework	Yes	No	No	No
schoolwork	Yes	No	No	No

As nouns, homework and schoolwork are synonyms defined as:

homework and schoolwork: work, such as schoolwork or piecework, that is done at home

Other synonyms of homework include school assignment.

homework (noun)	schoolwork (noun)
work, such as schoolwork or piecework, that is done at home	work, such as schoolwork or piecework, that is done at home