white goods vs household linen

white goods and household linen both are nouns.

Word	Noun	Adjective	Verb	Adverb
white goods	Yes	No	No	No
household linen	Yes	No	No	No

As nouns, white goods and household linen are synonyms defined as:

white goods and household linen: drygoods for household use that are typically made of white cloth

white goods (noun)	household linen (noun)
drygoods for household use that are typically made of white cloth	drygoods for household use that are typically made of white cloth
large electrical home appliances (refrigerators or washing machines etc.) that are typically finished in white enamel