Manchester City 3-0 Crystal Palace
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Man City playmaker David Silva scored for the first time since October 25.
It was also the Spaniard's second Premier League brace, with the first having come against Fulham in January 2013.
As for visiting Palace, they have won just one of their last 11 Premier League outings.
Aston Villa 1-1 Manchester United
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Colombian international Radamel Falcao has scored in each of his last two starts for Man United.
His goal ensured that the Red Devils stretched their unbeaten run of Premier League matches at Villa Park to 19.
Meanwhile, Villa attacker Gabriel Agbonlahor was sent off for the first time in his career.
Hull City 0-1 Swansea City
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The victory was Swansea's first away from the Liberty Stadium in the Premier League for seven matches.
Hosts Hull have now not won any of their last 10 Premier League meetings.
Steve Bruce's men have also not kept a clean sheet in any of their previous eight outings.
Queens Park Rangers 3-2 West Bromwich Albion
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Charlie Austin scored the first hat-trick by a Queens Park Rangers player in the Premier League since Bradley Allen in 1993.
The striker has now scored in each of QPR's last five matches at Loftus Road.
Up the other end, West Brom defender Joleon Lescott scored for the first time since September 2012.
Southampton 3-0 Everton
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Graziano Pelle has scored eight goals for Southampton, seven of which have been scored at St Mary's Stadium.
The victory ended a run of six games without a victory for Ronald Koeman's side.
As for Everton, they have not kept a clean sheet in any of their last seven Premier League away matches.
Tottenham Hotspur 2-1 Burnley
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Young Spurs striker Harry Kane has scored 14 goals in 23 appearances in all competitions this season.
In the last four Premier League matches that Kane has scored in, Tottenham have won those encounters 2-1.
Burnley have collected just one point from their last nine trips to London.
West Ham United 2-0 Leicester City
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West Ham striker Andy Carroll scored for the first time with his foot since April 2013. His previous four goals had all been scored with his head.
As for the Hammers, they are unbeaten in their last seven matches at Upton Park.
Leicester have conceded at least two goals in each of their previous nine visits to London.
Newcastle United 0-1 Sunderland
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Visiting Sunderland have won four successive league Tyne-Wear derbies against Newcastle for the first time in the fixture's history.
However, it was only a third win of the campaign for the Black Cats.
Hosting Newcastle have won just one of their last six matches in all competitions.
Liverpool 2-2 Arsenal
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Liverpool have been able to win just two of their last 15 Premier League meetings with Arsenal.
Arsenal, meanwhile, scored with their first two shots on target at Anfield.
Despite having missed much of the season through injury, Gunners frontman Olivier Giroud has scored five Premier League goals this season.
Stoke City 0-2 Chelsea
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John Terry scored his 35th Premier League goal, which excluding penalties, is the most of any defender in the competition's history.
Chelsea have had 13 different scorers this season, more than any other team.
Cesc Fabregas, who scored one, also recorded his 12th assist of the campaign.