Goals from Oscar and Cesc Fabregas made it seven wins from eight games for Chelsea, who overcame the sending-off of Cesar Azpilicueta before halftime to stay five points clear.
Aguero lit up the day's early kickoff, scoring all four goals as Manchester City beat Tottenham Hotspur 4-1 in a match of four penalties and a red card for Spurs defender Federico Fazio.
The Argentine scored twice from the spot and had another penalty saved.
Pride of place, however, went to Southampton who thrashed Sunderland 8-0 to stay in third place.
West Ham United moved into the top four after a 3-1 victory at struggling Burnley.
Arsenal's mediocre start to the season continued as they were held to their fifth draw in eight matches, Danny Welbeck scoring late to salvage a 2-2 home draw with Hull City.
Everton returned to form with a 3-0 win over Aston Villa.
Newcastle United's home game against Leicester City was a delayed kickoff after a pre-match safety issue with a new video screen inside St James' Park.
(This story corrects spelling of Federico Fazio in third para)
(Editing by Ed Osmond)
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