Romelu Lukaku scored his 100th
Premier League goal as Manchester United strengthened their grip on
second place and dented Swansea's survival hopes.
Sanchez's crisp strike soon doubled the advantage - only his second league goal for United - as the hosts dominated.
Swansea improved after the break, Tammy Abraham twice denied by David de Gea, but United were always in control.
Jose Mourinho's side re-opened a two-point gap over third-placed Liverpool, who won 2-1 at Crystal Palace earlier on Saturday.
Swansea stay three points clear of the relegation zone, but drop down a place to 15th.
United's hopes of catching runaway leaders Manchester City may have long gone, but there is still plenty to play for as they aim to finish runners-up behind their neighbours.
Second place would represent their highest league finish since winning the title in 2012-13 in Sir Alex Ferguson's final season at the helm.
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