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Manchester City eased Norwich City aside to reach the fourth round of the FA Cup, while Crystal Palace edged Southampton.
Elsewhere, Watford beat Newcastle United, Bournemouth survived a scare at Birmingham City, West Bromwich Albion struck late to earn a replay with Bristol City, West Ham United defeated Wolverhampton Wanderers, and Everton saw off League Two’s Dagenham & Redbridge.
In the day's early game, Wycombe Wanderers managed a 1-1 draw against Premier League strugglers Aston Villa before, in the matches that were live on Setanta Sports, Arsenal beat Sunderland and Doncaster Rovers were edged out by Stoke City. Full reports for those three games can be found on this site's soccer page.
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Norwich were comprehensively defeated 3-0 by Man City at Carrow Road.
Sergio Aguero opened the scoring with a typical strike, shifting and finishing expertly after good build-up work from Aleksandar Kolarov and Raheem Sterling, before the Argentine front-man set up Kelechi Iheanacho to double City's advantage from the centre of the penalty area.
Kevin De Bruyne, having replaced Aguero, ensured City's progress by dancing past a couple of defenders and shooting through the legs of John Ruddy with 12 minutes of the clash remaining.
Southampton were beaten 2-1 by Crystal Palace at St Mary’s.
Palace took the lead through Joel Ward, who netted from close range after Jason Puncheon had nicked the ball from the Southampton defence.
The Saints equalised six minutes into the second half, as Oriol Romeu poked in from a couple of yards out.
However, the visitors secured victory when Wilfried Zaha netted a rebound following Maarten Stekelenburg's save from Jason Puncheon's shot.
Watford edged Newcastle 1-0 at Vicarage Road.
The hosts led thanks to a goal just before the break by Troy Deeney, who intercepted Georginio Wijnaldum's attempted back-pass, evaded Rob Elliot and netted.
Ayoze Perez and Aleksandar Mitrovic went close in the second period for the visitors but Watford clung on to progress.
Birmingham lost 2-1 at home to Bournemouth.
Michael Morrison broke the deadlock for the hosts, heading in David Cotterill's delivery a few minutes prior to the interval.
However, there was enough first-half time remaining for Bournemouth to equalise through a penalty kick from Lee Tomlin, following a foul by Jonathan Grounds.
The hosts had the chance to restore their lead when Maikel Kieftenbeld was fouled in the penalty area, but James Vaughan fired his spot-kick over the crossbar.
Glenn Murray punished the Championship side late on, forcing the ball over the line from close range following a goal-mouth scramble.
West Brom earned a replay at Bristol City by drawing 2-2 with the second-tier side at The Hawthorns.
Saido Berahino broke the deadlock with three-quarters of the game having passed, curling a low effort beyond Max O'Leary, but the away side quickly levelled, as Luke Freeman's free-kick was headed home by Jonathan Kodjia.
The visitors stole the lead through Kieran Agard, who netted from close in after Luke Freeman's strike had been saved by Ben Foster.
However, deep into injury time, the Baggies forced a replay away to the Championship outfit, with James Morrison turning home a Jonny Evans knock-down.
West Ham booked a place in the fourth round with a 1-0 win over Wolves.
Following agoalless first period that the Hammers largely bossed, it took the hosts until the 85th to strike, when Nikica Jelavic was set up by substitute Andy Carroll and smashed in a half-volley.
The Championship side pushed strongly for a leveller in the time that remained but were unable to set up a return clash.
Everton made relatively hard work of progressing past Dagenham & Redbridge, winning 2-0 at Goodison Park.
The home side broke the visitors' resistance soon after the half-hour, as Arouna Kone headed home Bryan Oviedo's free-kick.
The Toffees finally secured victory late in the second half when Kevin Mirallas was fouled in the penalty area and calmly netted the resultant spot-kick.