Two goals from Mike Hanke and one from Juan Arango secured a fourth straight league win that saw them move on to 29 points.
"This was a deserved win," Gladbach coach Lucien Favre told reporters after his team stormed into a 2-0 lead at the break before adding a third just after the interval. "We could have gone into the second half with an even bigger lead.
"We wanted to pressure them from the start and my players did it well. We could have won by four or five goals today," said the Swiss, who took charge midway through last season to keep them in the Bundesliga.
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