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Madrid took the lead with only two minutes played as Cristiano Ronaldo lashed in a spectacular free kick from 30 yards.
They nearly extended their advantage a minute before half time, but Angel di Maria's effort crashed against the crossbar.
However, Madrid made it 2-0 with 20 minutes to play thanks to a powerful Ronaldo header from Xabi Alonso's free kick.
The victory was sealed soon after as Gonzalo Higuain drilled a low shot into the far corner on the angle.