West Ham beat Watford 3-1 in a dramatic encounter at Upton Park to maintain their push for a place in Europe.
Andy Carroll poked home his sixth goal in six matches, and Mark Noble added two penalties to put the hosts 3-0 up. The first spot-kick was awarded after Jose Holebas felled Diafra Sahko, and Almen Abdi brought down Michail Antonio for the second after the break.
Sebastian Prodl hooked one back for Watford and they also earned a late penalty, but Troy Deeney couldn't convert and in the final minute of injury time, Hornets winger Nordin Amrabat was sent off for picking up his second yellow.
The Hammers remain sixth in the Premier League, still three points behind fifth-placed Manchester United who they face off with next Wednesday night. Coincidently, this will be the final game at Upton Park before their move to the Olympic Stadium next season.
Watford remain 12th and will now focus on Sunday's FA Cup semi-final at Wembley against Crystal Palace.
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Jurgen Klopp's first Merseyside derby ended in a comfortable victory as Liverpool beat 10-man Everton for their third consecutive Premier League win.
Divock Origi and Mamadou Sahko headed in two goals in as many minutes at the end of the first half. Everton then lost Ramiro Funes Mori for a nasty challenge on Origi, who had to be replaced by Daniel Sturridge.
The substitute then drove in a third before Philippe Coutinho's trademark curled finish completed an emphatic win. The result keeps Liverpool in with an outside chance of a top-four finish. They are seventh on 54 points, six points behind Arsenal in fourth while Everton are 11th on 41 points.
Next for the Reds, is a visit from former Champions League winning manager Rafael Benitez as his brings his Newcastle side to Anfield this weekend, whereas Everton have an FA Cup semi-final date with Manchester United in the early hours of Sunday morning.
Speaking of Manchester United, the Red Devils moved one point behind fourth-placed Arsenal with four Premier League games remaining after a comfortable win over Crystal Palace at Old Trafford.
Damien Delaney set United on their way when he inadvertently turned Matteo Darmian's cross into his own net. Julian Speroni kept Palace in the game with a series of fine saves before Darmian doubled the lead by lashing home from 20 yards.
Darmian's first goal for United sealed a highly satisfactory win for Louis van Gaal's side on a night thousands of United fans decided to give this match a miss due to their title challenge effectively being over.
Both teams will now look to book their place in the FA Cup final this weekend, representing their final shot at glory for the season.
West Ham United (Carroll 11', Noble 45' & 53') 3 Watford 1 (Prodl 64')
Liverpool (Origi 43', Sahko 47', Sturridge 61', Coutinho 76') 4 Everton 0
Manchester United (Delaney - OG 4', Darmian 55') 2 Crystal Palace 0
Arsenal vs West Brom - 4:45am AEST