In a large mixing bowl, combine the shredded potatoes, shredded onion, eggs, flour, salt, and pepper. Mix until well combined.

Heat the vegetable oil in a skillet over medium heat. Once hot, scoop about 1/4 cup of the potato mixture into the skillet, flattening it slightly with a spatula.

Cook for about 4-5 minutes on each side, or until golden brown and crispy. Remove from skillet and drain on paper towels.

Serve warm with sour cream or applesauce, if desired.