Olise, who arrived from Crystal Palace in the summer, scored twice and laid on two more in the win, while Kane had a goal with his two assists.
The big win continued Bayern’s stunning week, with a 6-1 win at promoted Holstein Kiel followed by a 9-2 home victory over Dinamo Zagreb in the Champions League.
Kane created Olise’s 23rd-minute opener and the goalscorer then turned provider, dribbling down the right and threading a perfect pass for Jamal Musiala to score shortly afterwards.
Olise then assisted Kane’s 57th-minute goal, the England captain’s 10th goal so far for Bayern this season in six games all competitions.
Olise scored again and Kane set up Serge Gnabry to make it five against Bremen, whose only win against Bayern dating back to 2008 came this January in Munich.
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