The phrase "to show out" means to behave in a boastful or overly confident manner, often by making exaggerated gestures or expressions. Full definition
One of the virtues of getting to make a TV show out of a movie is the opportunity to expand the world of that movie, to give each character his or her due. (rottentomatoes.com)
There are tons of shows out there that could be a huge break for your business. (entrepreneur.com)
I'm alright with the idea that guys sometimes don't show out in one team / scheme and blow up in another, but man that was harsh. (sbnation.com)