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Raheem Sterling scored a hat-trick as Manchester City increased their lead at the top of the Premier League to 12 points with a victory that keeps Norwich in the relegation zone.
The England forward curled in a delightful opener for the defending champions and grabbed his second 20 minutes from time with a simple header from close range.
The 27-year-old completed his hat-trick in the 90th minute but only after Angus Gunn saved his penalty, Sterling tapping in the rebound.
Phil Foden had scrambled in City's second immediately after the break to put the game beyond Norwich, who earlier hit the post from Grant Hanley's header.
But the visitors were dominant and always looked comfortable at Carrow Road.
Pep Guardiola's side are now unbeaten in the league since October. Their closest challengers Liverpool have two games in hand.
The Canaries remain 18th, one point and one place from a position of safety, though they have played more games than the sides around them.
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Sterling shines as City march on
With a trip to Portugal to face Sporting Lisbon in the last 16 of the Champions League to come on Tuesday, Guardiola made five changes to his side but sacrificed none of City's fluid attacking prowess.
Foden had the ball in the net early on but was caught offside by a well-drilled Norwich defensive line and Bernardo Silva struck the inside of the far post with a low, measured effort.
Guardiola continues to insist his side are "in a fight to win the league" despite their healthy advantage over second-placed Liverpool, who visit Burnley on Sunday.
The Spaniard also says it will take more than 90 points to fend off Jurgen Klopp's side this season and City looked certain to move closer to that target when Sterling opened the scoring just after the half-hour mark.
Kyle Walker's cross fizzed all the way through to Sterling on the edge of the box and he shifted it on to his right foot before bending a superb effort into the far corner for his first Premier League goal since December.
City have only lost two of their past 46 Premier League games when leading at the break and Foden's effort straight after half-time made Norwich's task even harder.
The 21-year-old's first attempt was blocked by home goalkeeper Gunn at close range and Canaries defender Hanley attempted to hook the second off the line, but to no avail.
City have not lost in 15 league games since a defeat by Crystal Palace in October and, after Sterling added his second from Ruben Dias' nod down, Guardiola took the chance to give minutes to some of his younger players, with Liam Delap, James McAtee and Kayky all coming on.
It was 19-year-old Delap who won the penalty that led to Sterling completing his fifth league hat-trick for the club, albeit having to tap-in on the follow up after Gunn saved smartly from his initial spot kick.
Norwich outclassed but show promise
There appears to have been a shift in mentality at Norwich since Dean Smith's arrival and the boss said beforehand it was "11 humans v 11 humans", wanting his side to believe they could trouble the league leaders despite their own precarious position.
The Canaries did start promisingly, taking the game to City when in possession, and Teemu Pukki tested Ederson from an angle before Hanley hit the post with a towering header.
But City can open sides up in an instant and, having not long made a smart stop from the same player, goalkeeper Gunn stood no chance with Sterling's curling opener.
That seemed to break the hosts' resolve and they fell victim to City's ruthless attack, but Smith will be able to take some positives from his side's performance.
He also knows Norwich's fate will not be decided by their results against the top two - they have an unenviable trip to Liverpool next - and will want to reproduce the moments when they tested City in the games against their relegation rivals still to come.
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Norwich City
Squad number28Player nameGunn
Squad number2Player nameAarons
Squad number5Player nameHanley
Squad number4Player nameGibson
Squad number21Player nameWilliams
Squad number8Player nameGilmour
Squad number20Player nameLees-Melou
Squad number23Player nameMcLean
Squad number24Player nameSargent
Squad number22Player namePukki
Squad number17Player nameRashica
Squad number3Player nameByram
Squad number10Player nameDowell
Squad number16Player nameNormann
Manchester City
Squad number31Player nameEderson
Squad number2Player nameWalker
Squad number3Player nameRúben Dias
Squad number6Player nameAké
Squad number11Player nameZinchenko
Squad number20Player nameBernardo Silva
Squad number25Player nameFernandinho
Squad number8Player nameGündogan
Squad number26Player nameMahrez
Squad number47Player nameFoden
Squad number7Player nameSterling
Squad number37Player nameKayky
Squad number48Player nameDelap
Squad number87Player nameMcAtee
Line-ups
Norwich
Formation 4-3-3
- 28Gunn
- 2AaronsSubstituted forByramat 63'minutes
- 5Hanley
- 4Gibson
- 21Williams
- 8Gilmour
- 20Lees-MelouSubstituted forNormannat 63'minutes
- 23McLean
- 24SargentSubstituted forDowellat 87'minutes
- 22Pukki
- 17Rashica
Substitutes
- 3Byram
- 6Zimmermann
- 10Dowell
- 11Placheta
- 16Normann
- 18Tzolis
- 30Giannoulis
- 33McGovern
- 46Rowe
Man City
Formation 4-3-3
- 31Ederson
- 2Walker
- 3Rúben DiasBooked at 17mins
- 6Aké
- 11Zinchenko
- 20Bernardo SilvaSubstituted forMcAteeat 75'minutes
- 25Fernandinho
- 8Gündogan
- 26MahrezSubstituted forKaykyat 84'minutes
- 47FodenSubstituted forDelapat 82'minutes
- 7SterlingBooked at 90mins
Substitutes
- 5Stones
- 14Laporte
- 16Rodri
- 17De Bruyne
- 27Cancelo
- 33Carson
- 37Kayky
- 48Delap
- 87McAtee
Referee:Andre Marriner
Attendance:27,010
Live Text
Match ends, Norwich City 0, Manchester City 4.
Second Half ends, Norwich City 0, Manchester City 4.
Raheem Sterling (Manchester City) is shown the yellow card for a bad foul.
Foul by Raheem Sterling (Manchester City).
Kieran Dowell (Norwich City) wins a free kick in the attacking half.
Foul by Liam Delap (Manchester City).
Ben Gibson (Norwich City) wins a free kick in the defensive half.
Goal! Norwich City 0, Manchester City 4. Raheem Sterling (Manchester City) left footed shot from very close range to the bottom left corner following a set piece situation.
Penalty saved! Raheem Sterling (Manchester City) fails to capitalise on this great opportunity, right footed shot saved in the bottom right corner.
Penalty Manchester City. Liam Delap draws a foul in the penalty area.
Penalty conceded by Ben Gibson (Norwich City) after a foul in the penalty area.
Foul by Kayky (Manchester City).
Brandon Williams (Norwich City) wins a free kick in the defensive half.
Substitution, Norwich City. Kieran Dowell replaces Joshua Sargent.
Substitution, Manchester City. Kayky replaces Riyad Mahrez.
Foul by James McAtee (Manchester City).
Milot Rashica (Norwich City) wins a free kick in the defensive half.
Riyad Mahrez (Manchester City) wins a free kick in the defensive half.
Foul by Kenny McLean (Norwich City).
Substitution, Manchester City. Liam Delap replaces Phil Foden.
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