Blowing apart a problem for a while is different from ending it for good.
Wars usually end only when the defeated aggressor believes it would be futile to resume the conflict. Lasting peace follows if the loser is then forced to change its political system into something other than what it was.
Republican Rome learned that bitter lesson through three conflicts with Carthage before ensuring that there was not going to be a fourth Punic War.
Germany fought three aggressive wars before it was finally defeated, occupied, and reinvented.
America defeated Nazi Germany, fascist Italy, and Imperial Japan, inflicting such damage that they were all unable to continue their resistance. And then, unlike its quick retreat home after World War I, America occupied — and still has bases in — all three.