Liverpool took full advantage of Manchester City's slip-up in the Premier League title race by beating Aston Villa to move five points clear in top spot.Just before the game at Anfield kicked off, the reigning champions were beaten 2-1 by Brighton.That meant leaders Liverpool knew victory would ensure they opened up a decent gap to City heading into the international break.Darwin Nunez opened the scoring in the 20th minute, striding on to a loose ball after Mohamed Salah went down in a tangle with Leon Bailey following a brilliant counter-attack before firing beyond Emi Martinez.Nunez really should have had a second not long after when he broke away following another quick break, but this time he drove his shot over.It could have proved costly but for two fantastic saves by Caoimhin Kelleher to first deny Amadou Onana and then Diego Carlos before the interval.Morgan Rogers then missed another big chance for Villa seconds after the restart when he clipped a shot wide when aiming for the far corner.Chances after that were few in a tense second half, although Villa boss Unai Emery felt his side should have had a penalty for a shirt pull by Conor Bradley - an early replacement for the injured Trent Alexander-Arnold - on Pau Torres, but nothing was given after a review by the video assistant referee (VAR).But Salah made sure of a big three points with six minutes left when he raced through and squeezed a shot home at the near post, scoring for a fourth successive league game.The win was Liverpool's ninth in 11 Premier League games - 15th in 17 overall since Arne Slot took charge in the summer - while Aston Villa are eighth.