broadcast vs come out with

broadcast

verb
  • To appear as a performer, presenter, or speaker in a broadcast programme. 

  • To transmit a message or signal through radio waves or electronic means. 

  • To transmit a message over a wide area; specifically, to send an email in a single transmission to a (typically large) number of people. 

adj
  • Cast or scattered widely in all directions; cast abroad. 

  • Communicated, signalled, or transmitted through radio waves or electronic means. 

  • Relating to transmissions of messages or signals through radio waves or electronic means. 

adv
  • Widely in all directions; abroad. 

noun
  • A programme (bulletin, documentary, show, etc.) so transmitted. 

  • A transmission of a radio or television programme intended to be received by anyone with a receiver. 

come out with

verb
  • To make something public or available to the public. 

  • To say something unexpected. 

How often have the words broadcast and come out with occurred in a corpus of books? (source: Google Ngram Viewer )