lead by the nose vs pull the wool over someone's eyes

lead by the nose and pull the wool over someone's eyes both are verbs.

Word	Noun	Adjective	Verb	Adverb
lead by the nose	No	No	Yes	No
pull the wool over someone's eyes	No	No	Yes	No

As verbs, lead by the nose and pull the wool over someone's eyes are synonyms defined as:

lead by the nose and pull the wool over someone's eyes: conceal one's true motives from especially by elaborately feigning good intentions so as to gain an end

Other synonyms of lead by the nose include bamboozle, hoodwink, play false, snow.

lead by the nose (verb)	pull the wool over someone's eyes (verb)
conceal one's true motives from especially by elaborately feigning good intentions so as to gain an end	conceal one's true motives from especially by elaborately feigning good intentions so as to gain an end