The victory was never in doubt after they went ahead through Mats Hummels early on.
Elsewhere in the competition Freiburg beat Eintracht Braunschweig 2-0, Mainz beat Erzgebirge Aue by the same score and Schalke won 3-0 against Sandhausen.
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The reputation of the Premier League means it is the most popular and one of the most watched leagues in the world.
Five English clubs will compete in the last sixteen of the Champions League for the first time ever as Liverpool, Manchester United, Manchester City, Chelsea and Tottenham face some difficult away matches.