FRANKFURT, Germany (AP) — Mario Goetze came off the bench to score against his childhood club, and Arjen Robben and Thomas Mueller added late goals in Bayern Munich’s 3-0 victory over Borussia Dortmund in the top Bundesliga derby yesterday.

The final score did not reflect the flow of the match, as Dortmund had the better chances until Bayern’s late flurry.

Goetze scored in the 66th, 10 minutes after coming on to a chorus of boos from the 80,000 Dortmund fans who have not forgiven

him the offseason move to Borussia’s biggest rival.

Mueller fed Goetze from the right and the forward was left unchallenged just inside the area to drill the ball inside the far post with the outside of his foot. Goetze refrained from celebrating the goal but was mobbed by teammates.

Robben doubled the lead in the 85th by collecting a long ball from Thiago Alcantara and chipping home. Robben then fed Philipp Lahm on the right who passed inside for Mueller to complete the victory in the 87th.

Bayern stretched their record unbeaten run to 38 matches as Pep Guardiola’s team retained a fourpoint lead. Dortmund’s secondstraight league loss dropped them to third behind Bayer Leverkusen, who won 1-0 at Hertha Berlin thanks to Stefan Kiessling’s eighth goal of the season.

Leverkusen are now three points ahead of Dortmund, who trail Bayern by seven.

Dortmund, unbeaten by Bayern in six previous league games, were missing their regular back four. Bayern were without Franck Ribery, among others, with both teams hit by injuries.

Manuel Friedrich, a 34-year-old former Germany defender who had been without a club this season, made his debut for Dortmund after getting a contract earlier this week.

Bayern put on some early pressure but Robert Lewandowski had the first chance, sending high his volley from close range. Bayern goalkeeper Manuel Neuer made a good save from Marco Reus, while Roman Weidenfeller caught Mario Mandzukic’s half-volley without problems.

Mandzukic was ineffective and was replaced by Goetze, which proved to be a winning move by Guardiola.

In other matches, Eintracht Frankfurt overcame a two-goal deficit before conceding a late equaliser in a 3-3 draw at home against Schalke.

Nuremberg remained without a win this season by playing to a 1-1 draw at home with Wolfsburg, Freiburg won 1-0 at Eintracht Braunschweig and Augsburg beat Hoffenheim 2-0.

Schalke scored two quick early goals, before Frankfurt replied with three after the break. But a lucky bounce allowed Benedikt Hoewedes to secure the late draw for Schalke.

Frankfurt have lost several points by conceding goals in the last 10 minutes and again experienced a similar fate.

Schalke went ahead in the 14th minute when Johannes Flum headed into his own net while attempting to clear a cross from Atsuto Uchida. Four minutes later, Joel Matip doubled the lead with a header off a free kick from Dennis Aogo.

Flum struck the post before putting Frankfurt on the board in the 56th with a looping header over Schalke goalkeeper Timo Hildebrand. Frankfurt’s equaliser was similar, with Joselu connecting with a cross from Sebastian Jung to send another lob over Hildebrand.