Final answer:
White blood cells use the process of exocytosis to expel waste material, like the remnants of ingested bacteria, to the extracellular environment after phagocytosis.
Step-by-step explanation:
White blood cells engulf bacteria and eliminate the waste to the extracellular environment through a process known as exocytosis. In phagocytosis, a form of endocytosis, white blood cells such as neutrophils surround and ingest bacteria.
Once the bacteria are destroyed, the waste material is expelled from the cell into the extracellular space via exocytosis, which contrasts with other transport mechanisms like osmosis, active transport, and filtration that generally involve smaller molecules.