tax bill vs invoice

tax bill and invoice both are nouns.

Word	Noun	Adjective	Verb	Adverb
tax bill	Yes	No	No	No
invoice	Yes	No	Yes	No

As nouns, invoice is a hypernym of tax bill; that is, invoice is a word with a broader meaning than tax bill:

tax bill: money owed for taxes
invoice: an itemized statement of money owed for goods shipped or services rendered

Other hypernyms of tax bill include account, bill.

tax bill (noun)	invoice (noun)
money owed for taxes	an itemized statement of money owed for goods shipped or services rendered

tax bill (verb)	invoice (verb)
	send a bill to