forest vs woods

forest and woods both are nouns.

Word	Noun	Adjective	Verb	Adverb
forest	Yes	No	Yes	No
woods	Yes	No	No	No

As nouns, forest and woods are synonyms defined as:

forest and woods: the trees and other plants in a large densely wooded area

Other synonyms of forest include wood.

forest (noun)	woods (noun)
the trees and other plants in a large densely wooded area	the trees and other plants in a large densely wooded area
land that is covered with trees and shrubs

forest (verb)	woods (verb)
establish a forest on previously unforested land