Following a goalless but entertaining first half on Sunday night, Maxwell needed just five minutes of the second to send the champions into a lead with his third of the season before substitute Edinson Cavani wrapped up all three points with little over 10 minutes to play.
Victory for Laurent Blanc's men, their third in a row in the league, takes them eight points clear at the summit after Monaco suffered defeat at St Etienne on Saturday.
Salomon Kalou scored his first hat-trick in Ligue 1 as Lille came from behind to beat Ajaccio 3-2 in a bad-tempered affair at the Stade Francois-Coty.
Despite falling behind to Junior Tallo's strike, the quickest goal this season in the French top flight, Kalou's effort from open play was sandwiched by two penalties to secure a first win on the road since October.
Remi Garde's team held on despite seeing Adama Soumaoro sent off late on.
Tallo had offered the Corsicans hope just before the break when he scored his second of the game to send the teams in level but a contentious second-half spot-kick proved enough to eventually separate the two sides as Ajaccio boss Christian Baroni was sent to the stands for his protests.
Lyon were held to their third goalless draw this season at the Stade Gerland by Montpellier in a game the hosts largely dominated from start to finish.
Clement Grenier tested visiting goalkeeper Geoffrey Jourdren from several free-kicks in what proved to be a hotly-contested duel but Montpellier held out to stretch their unbeaten league run to nine games.