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Manchester United stretched their unbeaten Barclays Premier League run to four matches, and seven in all competitions, with a comfortable win at Craven Cottage.
All United's goals came in the first 22 minutes and although Fulham pulled one back midway through the second half, it had no bearing on the result.
Antonio Valencia, Robin van Persie and Wayne Rooney were on target for the visitors, who have now scored 10 goals in their last three matches, with Alexander Kacaniklic replying.
United made five changes from the side that beat Stoke City 3-2 in their last Premier League outing with Adnan Januzaj deployed on the left wing in place of Shinji Kagawa and Nemanja Vidic restored to the defence. Striker Darren Bent was replaced for Fulham by Iranian midfielder Ashkan Dejagah, who made his first league start of the campaign.
It took United just nine minutes to break the deadlock as Valencia slotted into an unguarded net following neat link-up play from Van Persie and Rooney. Moyes' men continued to dictate play following the goal, but Fulham twice had chances to level matters as David de Gea denied Dimitar Berbatov from close range.
Van Persie then doubled the lead by emphatically slamming the ball past Maarten Stekelenburg after 20 minutes following a deft pass from Januzaj, before he turned provider two minutes later to set up Rooney for the third.
Fulham made an improved start to the second half and came close to pulling one back when Pajtim Kasami's long-range effort flew just past the right-hand post. United went close through Marouane Fellaini, one of three half-time substitutes, but Fulham did score 20 minutes into the second half as Kacaniklic cut inside to unleash a fierce effort that deflected off Rooney, leaving De Gea with no chance.
Substitute Bent hit the bar from close range late on but Fulham could not score again and United safely saw out the match.
Fulham manager Martin Jol: "We looked awful over a short spell of time in the first half. We started off well, then we gave it away and they played through our defence like a knife through butter.
"At half time, we sat together and they were so good, my boys. They wanted to do well and they wanted to show character and that is what we told them as well.
"I can't say that I'm a happy customer, but I was really satisfied that we came back and we could have scored a second.
"3-2 would have looked a bit better, but three goals in 12 minutes - you fear for the worst."
Manchester United manager David Moyes: "We're delighted that we picked up three points as it's never easy at Craven Cottage.
“It was good, especially the opening 20 minutes, as we got off to a blistering start and the boys put us in a great position. We looked like we were ready to really rip them apart at times. We scored three and created a number of other moves that could have ended up in goals so I've got to say I was really pleased with that part of the game.
"It [the partnership between strikers Wayne Rooney and Robin van Persie] has already developed because they've been here so long. It can take time but I thought there were signs today that they were really clicking.
"I think they created chances for one another. It was great. Anyone who has been a centre-forward, you’re always looking for your partner to do well and they both did that today, they worked really well together, especially in the early part of the game."
|01 Mar 2014||v Chelsea (H)|
|22 Feb 2014||v West Brom (A)|
|23 Nov 2013||v Swansea (H)|
|08 Dec 2013||v Aston Villa (H)|
|21 Dec 2013||v Man City (H)|
|01 Jan 2014||v West Ham (H)|