Liverpool thrashed second-placed Arsenal 4-0, building on their victory over Manchester United in the previous fixture.
Arsenal hadn’t won a game at Anfield in eight years and they fell behind in the 11th minute as Steven Gerrard opened the scoring.
Michael Owen, Nick Barmby and substitute Robbie Fowler then increased the home side’s advantage and the Gunners’ misery in the final half an hour.
The result left Liverpool fourth on 33 points, two points behind Arsenal, who remained second.
Chelsea destroyed Aston Villa, with seven different players scoring, as the Blues moved back up to third in the table.
Fernando Torres continued his resurgence under Rafael Benitez, with his towering third-minute header setting the hosts on their way.
A David Luiz free-kick and a header from Branislav Ivanovic as good as wrapped up victory before half-time.
Goals from Frank Lampard, who was making his 500th PL appearance, Oscar, Eden Hazard and a brace from Ramires then capped a dominant performance at Stamford Bridge.
Chelsea moved to 32 points, 11 behind league leaders Manchester United and seven behind second-placed Manchester City, while Aston Villa dropped to 16th on 18 points.