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Wayne Rooney, Juan Mata and Robin van Persie were on target as United won in convincing fashion, although they had goalkeeper David Ge Gea to thank for an outstanding performance.
Swansea will look to stay in the race for a top four spot as the take on Tottenham Hotspur on Sunday.
SWANSEA VS SPURS PAST THREE MEETINGS...
Swansea 1 (Bony) Tottenham 3 (Adebayor 35, 71, Chico og) - Sun 19 Jan 2014
Tottenham 1 (Soldado) Swansea 0 - Sun 25 Aug 2013
Swansea 1 (Michu) Tottenham 2 (Vertonghen, Bale) - Sat 30 Mar 2013
SWANSEA VS SPURS STATS...
Ivorian striker Bony has netted seven times in his last nine Premier League appearances.
Swansea have lost one home game this season
Tottenham have conceded six goals in the opening 15 minutes of matches this season, more than any other club.