Vicicius Junior, who was jeered by his own fans last weekend in their home win over Levante, also excelled and scored a brilliant goal for Madrid, strengthening their quest for the top eight in the league standings.
After taking over from Xabi Alonso last week, Alvaro Arbeloa’s team produced a stunning attacking display to secure a second victory.
Los Blancos also hit the goals of Jude Bellingham and Franco Mastantuono, and Thilo Kehrer slotted a Vinicius cross into his own net to give Madrid their arguably best season performance.
Mbappe has continued to excel despite Madrid’s difficulties and increased his position as the best goal scorer in Europe with his 10th and 11th goals, which gave his team a commanding lead.
Mbappe has scored in his next two matches after being let down by Albacete in Arbeloa’s disastrous opening game.
After Fede Valverde cut back after just five minutes, the French superstar slotted home from just inside the area to open the scoring.
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Mbappe apologized to the visiting supporters after his celebration with his team-mates at Monaco, where he first gained international attention.
Before Arbeloa’s side struck again, Ansu Fati, who is currently on loan at Monaco from Barcelona’s rivals, came close.
They launched a devastating counter-attack with Arda Guler’s clever film Eduardo Camavinga launching the action. Vinicius was found by Guler, who slammed the ball in the face for Mbappe to tuck home just inside.
Monaco provided some attacking threat despite being defensively shredded, and Jordan Teze hit the crossbar with a well-directed long-range effort.
Before the break, Madrid’s goalkeeper Thibaut Courtois also made a few strong saves, with the third coming just as the action was over.
Vinicius, who was heavily involved, unselfishly teed up Mastantuono, a former River Plate playmaker, to win the game.
After 55 minutes, Madrid had four, with Kehrer tying Vinicius’ low cross into his own net as Monaco slammed.
Since taking over, Arbeloa has only ever praised Vinicius, and the forward rebuked his coach with a hug after ramming in the fifth minute.
Vinicius scored his only other goal in his last 19 games for the club, firing into the top corner past Philipp Kohn, who was a helpless goalkeeper.
At first, there were a few boos for him, but they quickly vanished as Vinicius rehashed his qualities as a superstar.
After Dani Ceballos made a mistake, Teze pulled one back for Monaco, before Madrid struck once more to end the match.