Alexander Isak received a pass from Florian Wirtz, feinted and made it 3-0 in the 89th minute away to Crystal Palace.
Isak is now two goals behind Manchester City's Norwegian star Erling Braut Haaland in the league's top-scorer standings.
Liverpool are fourth in the table, nine points behind leaders Arsenal and four points behind surprise package Brighton.
For Yasin Ayari's Brighton, Manchester City also cruised to a 2-0 home win over Brentford.
Brighton defeated Manchester City away last time out and followed that up with their seventh win in the first ten league rounds.
Diego Gómez made it 1-0 against Brentford in the 15th minute, and Pascal Gross extended the lead from the penalty spot just before half-time.
Swedish international Yasin Ayari was, as usual, in coach Fabian Hürzeler's starting eleven.
Brighton are five points behind leaders Arsenal and one point ahead of Manchester City.








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