put out vs bear on

put out and bear on both are verbs.

Word	Noun	Adjective	Verb	Adverb
put out	No	No	Yes	No
bear on	No	No	Yes	No

As verbs, bear on is a hypernym of put out; that is, bear on is a word with a broader meaning than put out:

Other hypernyms of put out include affect, bear upon, impact, touch, touch on.

put out (verb)	bear on (verb)
administer an anesthetic drug to	have an effect upon
thrust or extend out	press, drive, or impel (someone) to action or completion of an action
prepare and issue for public distribution or sale	be relevant to
retire	keep or maintain in unaltered condition; cause to remain or last
deprive of the oxygen necessary for combustion
cause to be out on a fielding play
put out considerable effort
to cause inconvenience or discomfort to
be sexually active
put out, as of a candle or a light