Liverpool increased the scrutiny on former manager Rafael Benitez as they cruised to an easy Merseyside derby win over Everton at Goodison Park.
Jurgen Klopp's side had won only once on their previous nine visits to Everton but a blistering start put them in cruise control as Jordan Henderson scored with a composed finish after nine minutes before setting Mohamed Salah clear to beat Jordan Pickford 10 minutes later.
Everton, having been outclassed for the first half, gave themselves hope when Demarai Gray ran on to Richarlison's pass to beat Alisson seven minutes before the break.
Liverpool were still the team possessing all the quality and threat and they killed the game off when Salah cashed in on Seamus Coleman's error to race clear and expertly score after 64 minutes.
With the mood inside Goodison Park turning mutinous - there were loud protests at the final whistle - Diogo Jota piled on the pain for Benitez and Everton when he took Andrew Robertson's pass in his stride before escaping the attentions of Allan to fire high past Pickford with 11 minutes left.