Aguero ought to have had significantly more than three as the Argentine botched a radiant early opportunity and hit the bar in the second-half in an embarrassing evening for Maurizio Sarri's men.
Raheem Sterling began and finished the scoring and Ilkay Gundogan additionally got in the primary quarter of the amusement as City finished what could have been a trying week with an excursion to Everton in the middle of the visits of Arsenal and Chelsea with greatest focuses.
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Jurgen Klopp's men keep up the benefit of a diversion close by, yet gave a relief by Liverpool's draws against Leicester and West Ham lately, City look resolved to wind up the primary side in 10 years to hold the Premier League.
Chelsea then again slip to 6th with the size of the annihilation beyond any doubt to raise further questions over Sarri's future.
A 4-0 thrashing to Bournemouth in their last away diversion was Chelsea's heaviest alliance rout since 1996.
What's more, this was their most noticeably bad misfortune in any challenge since 1991 in the wake of neglecting to recoup from Sterling's fourth-minute opener.
Eden Hazard rested from Kevin de Bruyne's immediately taken free-kick and Bernardo Silva had sections of land of room to cross for the England worldwide to flame home.
Get up and go Guardiola had depicted this match as a "last" for his side given that Chelsea had seven days to get ready, while City ground out a 2-0 succeed at Everton on Wednesday.
Guardiola tumbled to the floor in irritation when Aguero by one way or another side-footed wide with his least demanding shot of the amusement minutes after the fact.
Yet, the Catalan mentor need not have stressed that would demonstrate an exorbitant miss as Aguero offered some kind of reparation in staggering design by impacting into the best corner from 25 yards to twofold City's after only 13 minutes.
Aguero had a basic errand to make it 3-0 six minutes after the fact when he jumped on Ross Barkley's slack header towards his own objective.
Also, Gundogan's shot from the edge of the region at that point had excessively control for the world's most costly goalkeeper Kepa Arrizabalaga to aggravate Chelsea's burdens.
Such was the protective breakdown at the opposite end, Gonzalo Higuain had minimal opportunity to excel yet the Argentine striker was awful not to score his third objective in the same number of association begins for Chelsea when Ederson turned over his plunging volley five minutes previously the break.
That was as quite a bit of a reaction as Chelsea marshaled, however, and it just deteriorated for Sarri's odds of keeping his activity in the second time frame.
Aguero botched his first opportunity to seal a second cap trap in two diversions when he headed against the crossbar.
However, when Sterling was unreasonably speedy for Cesar Azpilicueta and cleaved somewhere near the Spaniard inside the region, Aguero coolly opened home from the punishment spot to move level with Liverpool's Mohamed Salah as the Premier League's best scorer on 17 for the season.
Indeed, even after Aguero headed out to an overwhelming applause, City's quality top to bottom shone through as Gabriel Jesus, Riyad Mahrez and David Silva fell off the seat.
What's more, Silva's leave opened the guests behind again for the 6th as he selected Oleksandr Zinchenko who crossed for Sterling to tap home