Fabregas and Sanchez combined to set up each other for Barcelona’s first four goals of the game.
Fabregas then completed his hat trick from an Andres Iniesta pass, to keep them 13 points clear of 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.