BERLIN - Robert Lewandowski scored his 100th and 101st Bundesliga goals on Saturday as Bayern Munich defeated Mainz 3-0 for the club's seventh win from seven games in the German league.

Lewandowski, who scored five goals in only nine minutes against Wolfsburg on Tuesday, opened the scoring in the 51st with a header just inside the left post, then rounded the keeper for his second in the 63rd.

It was Lewandowski's 10th goal of the season. The Poland striker now has 27 in 37 league games for Bayern, having scored 74 for Borussia Dortmund before his 2014 switch.

"You always have to believe that you're going to score," said Lewandowski, who lifted his jersey to reveal a shirt with the number 100 emblazoned across the front.

Kingsley Coman, who produced an outstanding cross for Lewandowski's opener, converted Douglas Costa's cross from close range to complete the scoring in the 68th. It was the 19-year-old Frenchman's second goal in three Bundesliga games since he switched from Juventus in the off-season.

"It's very difficult here. They're a physical team and a difficult team to play. We only had one effort on goal in the first half," Bayern coach Pep Guardiola said.

Thomas Mueller struck a penalty over the bar in the 21st and Mainz midfielder Christian Clemens hit the crossbar in the second half.

Bayern next hosts Dinamo Zagreb in the Champions League on Tuesday.

Elsewhere, Raffael scored late to seal Borussia Moenchengladbach's 3-1 win at Stuttgart, Bayer Leverkusen won 3-0 at Werder Bremen, Hoffenheim beat Augsburg 3-1 and bottom side Hannover held Wolfsburg to a 1-1 draw.

Leroy Sane struck on the hour mark to give Schalke a 1-0 win at Hamburger SV in the late game.

The 19-year-old Sane, who came on for the injured Marco Hoeger in the first half, ran onto Leon Goretzka's perfectly placed pass and rounded the goalkeeper for his third goal in three consecutive Bundesliga games.

Schalke withstood a late onslaught to consolidate third-place with its fifth win.

In Stuttgart, Granit Xhaka headed Raffael's free kick inside the far post in the 17th and Patrick Herrman forced an own goal from Christian Gentner to make it 2-0 to 'Gladbach three minutes later.

Daniel Ginczek pulled one back with a penalty in the 40th, but any hopes of a comeback ended when Raffael struck on a counterattack in the last minute.

"The job was to stabilize the side, get a few points and calm things down. We've managed that," said 'Gladbach caretaker coach Andre Schubert, who has two wins from two games following the resignation of Lucien Favre. He quit after starting the season with five straight defeats.

Schubert's side hosts Manchester City in the Champions League on Wednesday.

In Bremen, Admir Mehmedi eluded three defenders before putting Leverkusen ahead with a deflected shot in the 31st, Julian Brandt made it 2-0 with an excellent free kick in the 58th and Kevin Kampl sealed the visitors' win with a looping shot for his first Bundesliga goal in the 65th.

"It's very special for me," said Kampl, who failed to settle at Dortmund last season. "I feel very comfortable at Leverkusen."

Leverkusen next visits Barcelona in the Champions League on Tuesday.

In Augsburg, Hoffenheim forward Kevin Volland cut inside two defenders and unleashed a shot inside the right post in the 10th. Koo Ja-cheol equalized in the 38th, but Volland claimed his second from the penalty spot in the 68th and Jonathan Schmid sealed the visitors' first win of the season five minutes later.

Wolfsburg striker Bas Dost broke the deadlock against Hannover five minutes before the break, only for Hiroshi Kiyotake to equalize in style in the 57th. The Japan midfielder controlled Manuel Schmiedebach's cross with his chest and then volleyed the ball in off the crossbar as he was falling.

Wolfsburg visits Manchester United on Wednesday.