buy off vs grease one's palms

buy off and grease one's palms both are verbs.

Word	Noun	Adjective	Verb	Adverb
buy off	No	No	Yes	No
grease one's palms	No	No	Yes	No

As verbs, grease one's palms is a hypernym of buy off; that is, grease one's palms is a word with a broader meaning than buy off:

buy off: pay someone with influence in order to receive a favor
grease one's palms: make illegal payments to in exchange for favors or influence

Other hypernyms of buy off include bribe, buy, corrupt.

buy off (verb)	grease one's palms (verb)
pay someone with influence in order to receive a favor	make illegal payments to in exchange for favors or influence