That result meant they have won 13 out of 14 matches so far this season, the best ever start by anyone to a league game.
Barcelona are now six points clear of Atletico Madrid and 11 from champions Real Madrid.
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Liverpool have unveiled their new home kit for next season, sticking with the hugely popular retro styling of the current shirt.
The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.