Final answer:
Permanent hair color products that are mixed with a developer to create a chemical change are called permanent hair coloring products.
Step-by-step explanation:
Hair color products that are mixed with a developer to create a chemical change are called permanent hair coloring products. Permanent hair coloring involves the use of an oxidant, a coupling agent, and a chemical compound such as 1,4-diaminobenzene or 2,5-diaminotoluene. These products chemically alter the hair structure and replace the natural color with a synthetic color that can last until the hair is cut.