laugh away vs brush off

laugh away and brush off both are verbs.

Word	Noun	Adjective	Verb	Adverb
laugh away	No	No	Yes	No
brush off	No	No	Yes	No

As verbs, brush off is a hypernym of laugh away; that is, brush off is a word with a broader meaning than laugh away:

laugh away: deal with a problem by laughing or pretending to be amused by it
brush off: bar from attention or consideration

Other hypernyms of laugh away include brush aside, discount, dismiss, disregard, ignore, push aside.

laugh away (verb)	brush off (verb)
deal with a problem by laughing or pretending to be amused by it	bar from attention or consideration