Tau.Neutrino said:
Could aircraft engine noise be suppressed by noise cancelling in the engine itself using oppose sound waves to do the noise cancellation.
Jet engines would have a set of frequencies which are variable so the opposite sound generators would need to be variable and tuned accordingly
Not really. The noise from a jet engine is usually not for the engine itself but is in the mixing of a stream of very hot fast moving air with the surrounding cooler and still air.
Jet aircraft noise of the early 21st century is much less than that of the 1970s or 80s. The way engine manufacturers reduced the noise levels was to increase the bypass ration. Have more air moving through the fan but not the combustion and turbine stages, so that there is more gentle mixing of the exhaust air. Running a smaller and higher pressure combustion and turbine stages helped with fuel economy too, so that is an added bonus. Expect in the future for engines to get even larger diameter.