The 27-year-old, who also scored twice against Mainz 05 in the Bundesliga on Saturday, completed his hat-trick 10 minutes after the restart with a fine turn and chip over Eduardo after a backheel combination between Costa and Thiago left the Dinamo defence dazed.
Bayern Munich striker Robert Lewandowski continued his remarkable scoring run with a hat-trick in a 5-0 thrashing of Dinamo Zagreb on Tuesday to snap the Croats' 45-game unbeaten run and put the German champions in control of their Champions League group.
In an explosive first half in which Bayern were 4-0 up inside half an hour, Lewandowski, who has notched a staggering 10 goals in their last three matches, including five in nine minutes against VfL Wolfsburg, netted twice in seven minutes after Brazilian Diego Costa had put Bayern ahead.
Mario Goetze added his second of the campaign before Poland captain Lewandowski chipped keeper Eduardo in the 55th minute for his third goal as Bayern moved to a maximum six points from two Group F matches.
Dinamo, unbeaten in 45 games matches in all competitions before Tuesday and winners at Arsenal in their opening group game, were mere observers as they witnessed Bayern's awe-inspiring display of speed, skill and strength.
Bayern coach Pep Guardiola surprisingly left Thomas Mueller, who has scored 11 goals in all competitions this season, and defensive midfielder Xabi Alonso on the bench, playing talented Joshua Kimmich. The 20-year-old needed just three minutes to make his presence felt, however, his glancing header sailing narrowly over the crossbar.
Dinamo's Eduardo came to the rescue a little later, palming a powerful Jerome Boateng drive around the post but the keeper could do nothing when Costa charged into the box from the left and caught him off guard to drill in from a tight angle.
His 13th-inute goal opened the floodgates and Bayern doubled their lead in the 21st when Thiago Alcantara pounced on a mistake by Filip Benkovic and laid off for Lewandowski, who had no trouble tapping in. Goetze grabbed his second goal of the campaign when he played a clever-one-two with Kingsley Coman in the 25th and Lewandowski flicked in a Costa corner three minutes later with the ball going in off the crossbar.
The 27-year-old, who also scored twice against Mainz 05 in the Bundesliga on Saturday, completed his hat-trick 10 minutes after the restart with a fine turn and chip over Eduardo after a backheel combination between Costa and Thiago left the Dinamo defence dazed.
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 "Robert Lewandowski")
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