Etymology
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shut up (v.)

c. 1400, "keep from view or use, render inaccessible" early 15c., "to lock up, confine," from shut (v.) + up (adv.). The meaning "cause to stop talking" is from 1814 (Jane Austen). The intransitive meaning "cease from speaking" is from 1840, also as a command to be silent, sometimes colloquialized in print as shuddup (1940). Put up or shut up "defend yourself or be silent" is U.S. slang, by 1868.

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grow up (v.)
"advance toward maturity," 1530s, from grow (v.) + up (adv.). As a command to be sensible, from 1951.
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hang up (v.)
c. 1300, "suspend (something) so that it is supported only from above;" see hang (v.) + up (adv.); telephone sense by 1911. The noun hang-up "psychological fixation" is first attested 1959, from notion of being suspended in one place.
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back up (v.)
1767, "stand behind and support," from back (v.) + up (adv.). Meaning "move or force backward" is by 1834. Of water prevented from flowing, by 1837.
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leg up (n.)
"an aid, a boost," 1837, from leg (n.) + up (adv.).
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pick up (v.)

early 14c. as a verbal phrase, "lift and take with the fingers," from pick (v.) + up (adv.). From 1510s as "take or get casually, obtain or procure as opportunity offers." Meaning "take (a person found or overtaken) into a vehicle or vessel," is from 1690s, also, of persons, "make acquaintance or take along" (especially for sexual purposes). Intransitive meaning "improve gradually, reacquire vigor or strength" is by 1741. Sense of "tidy up" is from 1861; that of "arrest" is from 1871; meaning "gain speed" is from 1922; meaning "to pay" (a check, tab, etc.) is from 1945. Pick-me-up "stimulating alcoholic drink" is attested from 1867.

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beef up (v.)
"add strength," 1941, from college slang, from beef (n.) in slang sense of "muscle-power" (1851).
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show up (v.)

verbal phrase, by 1826 as "to disgrace through exposure;" see show (v.) + up (adv.). The meaning "to put in an appearance, be (merely) present" is by 1888. The noun sense of "an exposure of something concealed" is by 1830, colloquial.

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beat up (v.)
"thrash, strike repeatedly," c. 1900 (v.), from beat (v.) + up (adv.). Earlier it meant "summon (recruits, etc.) by the beating of a drum" (1690s). Beat-up as an adjectival phrase meaning "worn-out" dates to 1946.
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blow up (v.)
1590s, "explode;" 1690s "cause to explode;" from blow (v.1) + up (adv.). From 1670s as "inflate, puff up." Figurative sense "lose one's temper" is from 1871.

As a noun, it is recorded from 1809 in the sense "outburst, quarrel;" 1807 as "an explosion." Meaning "enlargement from a photograph" is attested by 1945 (the verbal phrase in this sense is by 1930). Old English had an adjective upablawan "upblown," used of a volcano, etc.
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