Mash Black Beans With A Fork In A Large Bowl. Mix Carrots, Onion, Potatoes, And Corn Into The Mashed Beans. Stir Eggs Into Bean Mixture To Integrate Completely. Form The Mixture Into 8 Patties With Wet Hands; Season With Salt And Black Pepper. Heat Vegetable Oil In A Skillet Over Medium Heat. Cook The Patties In Hot Oil Until Cooked Through, About 6 Minutes Per Side.