brush off vs cut someone cold

brush off

verb
  • To disregard (something), to dismiss or ignore (someone), as unimportant. 

  • Used other than figuratively or idiomatically: see brush, off. To remove something with a brush. 

cut someone cold

verb
  • To ignore someone insultingly or slightingly. 

How often have the words brush off and cut someone cold occurred in a corpus of books? (source: Google Ngram Viewer )