Manchester United overcame Fulham and Manchester City smashed seven goals past Norwich City in the Premier League on Saturday, but Chelsea were dealt a shock defeat at Newcastle United.
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Despite a disappointing start to the season, United have now gone six games without defeat in all competitions following a 3-1 win over Fulham at Craven Cottage.
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David Moyes's side went 3-0 up inside 22 minutes, with Antonio Valencia tapping in a ninth-minute opener from Wayne Rooney's square pass.
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Robin van Persie's emphatic finish from Adnan Januzaj's measured through ball made it 2-0 and the Dutchman then centred for Rooney to add a third.
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Alex Kacaniklic pulled a goal back for Fulham in the 65th minute with a shot that deflected in off Rooney, but the champions saw out a victory that elevated them to within two points of the top four.
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"It's always been my team since I've taken over from Sir Alex Ferguson," said United manager Moyes.
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"It can take time to settle in and it has for us, but Manchester United usually make slow starts and get better as the season goes on."