All perfect praise be to Allah, The Lord of the Worlds. I testify that there is none worthy of worship except Allah, and that Muhammad is His slave and Messenger.
It is not obligatory for the person who performed ablution to wash his hands again after eating, even if they became unclean. However, the majority of jurists are of the view that it is recommended, in general, to wash the hands before and after eating.
Allah knows best.