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What looked a difficult tie on paper turned into straightforward afternoon in Norfolk for Manuel Pellegrini's charges.
Aguero, now fully match fit, produced one of the moments of the season so far with a fabulous solo goal.
His young attacking partner Kelechi Iheanacho provided yet more evidence of his striker's instinct with a clinically taken second.
Substitute Kevin De Bruyne fired in a third to send City marching into the fourth round in style.