You appear to have forgotten that Hannibal beat the roman army in at least six major battles from northern Italy to within site of Rome itself, and in most of those battles the Romans had vastly superior numbers but were outmaneuvered by Hannibal.
It was only a lack of political will on the part of the Carthaginian governors who mistakenly believed that now that Hannibal had totally defeated the best armies that Rome could send against him Rome would act reasonably
and consequently refused to send extra troops or support to allow Hannibal to lay siege to Rome.
Unable through a lack of men and resources to crush an almost helpless Rome Hannibal was forced to withdraw to Spain.
Two years later having changed many of the rules governing who could join their army from only Roman citizens to basically anyone who wanted to fight against Hannibal, a massive Roman army tracked Hannibal and his now much depleted army to Spain, where, abandoning traditional Roman military methods, and instead using Hannibal's own
tactics against him the Romans finally defeated Hannibal.
The Romans did what became their tradition against enemies who fought back.
They sailed to north Africa and sacked and burned Carthage to the ground.
Also you seem to have mistaken technology for culture. the Romans had nothing that we would recognise today as civilised culture, no music, no great poets, no theatre.
What they did have for entertainment was unique in ancient history.They had Amphitheater's where they sent thousands of criminals, prisoners of war, and slaves to die in some of the most unique and perverted ways ever devised by man.
You appear to have drawn your love of ancient Rome from the lessons taught in Victorian times by people who were only just beginning to discover the Romans.