To disregard, dismiss or ignore something, as unimportant.(verb)
To defeat with ease.(verb)
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Use "brush aside" in a sentence
"She stared at him malevolently, ready to brush aside any clumsy advance."
"And she was right — all that was needed was someone with bold front and bearing who could brush aside inconvenient officials on the run up-river, stick out his jaw at any Chink jack-in-the-office who threatened confiscation, and see that Josiah's ignorant skipper found his way safe to Jackass Point."
"The Poles tended to brush aside these generalities, which were plainly going onto the record with the Nuremberg Tribunal in mind, and insisted that the status of prisoners of war be extended to Resistance fighters throughout Poland instead of being confined to the AK in Warsaw."