Bayern Munich's Robert Lewandowski and Dante (L) celebrate a goal against Paderborn during their German first division Bundesliga soccer match in Munich September 23, 2014. [Photo/Agencies]

BERLIN - Champions Bayern Munich ended Paderborn's dream start to the season with a 4-0 demolition of the Bundesliga newboys on Tuesday, with Mario Goetze netting twice and new signing Robert Lewandowski getting off the mark.

The win lifted Bayern two points clear at the top on 11 from five games, two clear of Mainz 05 who drew 2-2 against Eintracht Frankfurt.

Hoffenheim also climbed to nine points after Jannik Vestergaard's stoppage-time equaliser in their entertaining 3-3 draw against Freiburg.

Minnows Paderborn, whose budget is five million euros a year, had arrived in Munich as unexpected league leaders after two wins and two draws in their first four games, taking the top division by storm in their maiden season.

But Bayern, despite missing several players through injury, handed out an attacking lesson.

Germany international Goetze put the hosts ahead, drilling in after a superb backflick assist from Thomas Mueller in the eighth minute.

Last season's Bundesliga top scorer Lewandowski, who joined Bayern from rivals Borussia Dortmund, opened his account six minutes later with a superb shot from 18 metres.

"I really felt good today and I am very happy to have scored," Poland international Lewandowski told reporters, "We won 4-0 and we want to keep stepping on the gas. The past couple of games may not have been great but we want to keep playing better and better."