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Radamel Falcao added Monaco's other two goals as the prolific pacesetters restored their three-point advantage over Paris Saint-Germain.
Unai Emery was happy with PSG's win against Bordeaux, but has called for his side to perform like that every game.
Marquinhos stated his belief that the Bordeaux performance was proper preparation for Barcelona next week.
PSG go level on points with league-leaders Monaco after cruising past Bordeaux with the help of an Edinson Cavani brace.
Fabio Capello has admitted that he rejected the chance to take over at Paris Saint-Germain back in 2013.
In their final tune-up before Tuesday's Champions League clash with Barcelona, red-hot Edinson Cavani and PSG were lethal in a 3-0 rout at Bordeaux.