The winner 'extended/offered an olive branch' to his opponent by calling him a great player.
In the beginning the business was highly specialized, but it has since 'branched out'.
The company specializes in casual clothing but it is 'branching out into' formal wear.
(..) -I have to find someone. There's a lot you don't understand about Skynet, okay? It's just too dangerous for us to go there. What about the L.A. branch? Come on, man. We need to get out of L.A. [CAR STEREO PLAYING ROCK MUSIC] What is that? (..)2009 Terminator Salvation
(..) Hold that. Where is everybody? They're gone. So why are you still here? Because we're the Resistance, L.A. branch. Welcome to the headquarters. Resisting what? Machines. Skynet. -Just the two of you? KYLE : Yeah. (..)2009 Terminator Salvation