Washington began the night with a two-point lead over Winnipeg in the battle for the Southeast Division title. Carolina lost its seventh in a row in its continued slide out of the playoff race.
Jeff Skinner gave Carolina the lead 5:01 into the game, but Braden Holtby was perfect the rest of the way while stopping 43 shots.
Brouwer's first goal tied it 8:08 into the second and Mike Green scored less than 3 minutes later to put the Capitals in front. Brouwer tacked on an empty-net goal with 6 seconds to go in the third.
Justin Peters gave up two goals on 30 shots for the Hurricanes.
Charlize Theron not engaged to Sean Penn 'yet'
Pistorius testifies he didn't consciously pull trigger when he shot girlfriend