laugh away vs disregard

laugh away is not a noun while disregard is a noun.

Word	Noun	Adjective	Verb	Adverb
laugh away	No	No	Yes	No
disregard	Yes	No	Yes	No

As verbs, disregard is a hypernym of laugh away; that is, disregard 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
disregard: bar from attention or consideration

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

laugh away (noun)	disregard (noun)
	willful lack of care and attention
	lack of attention and due care

laugh away (verb)	disregard (verb)
deal with a problem by laughing or pretending to be amused by it	give little or no attention to
	bar from attention or consideration
	refuse to acknowledge