Final answer:
Eosinophils are white blood cells that specialize in fighting parasitic worms, destroying antibody complexes, and mitigating some inflammatory chemicals related to allergies.
Step-by-step explanation:
The type of white blood cells that kill parasitic worms, destroy antibody complexes, and inactivate some inflammatory chemicals of allergy is eosinophils. These are granulocytes that play a crucial role in defending against parasitic infections, especially larger parasites such as worms.
Eosinophils do this by secreting a range of highly toxic substances and contain granules that include antihistamine molecules which counteract the activities of histamines. Moreover, eosinophils partake in the immune responses by binding to IgE-coated parasites via their Fc receptors, which causes degranulation and the release of substances that are toxic to the parasite.