Roma imploded late in the game after Daniele De Rossi was sent off for a two-footed lunged tackle on Giorgio Chiellini in the 75th minute.
Pirlo floated over another majestic free kick, Bonucci headed towards goal and Leandro Castan punched the ball away and was sent off. Mirko Vucinic fired in the penalty to complete the scoring and Juve's 10th successive league win.
Juventus, threatening to run away with their third successive title with more than half the season to play, have 49 points from 18 games with Roma on 41.
(Reporting By Brian Homewood; Editing by Ed Osmond)
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