The correct expansion for AIDS is option 3, which stands for Acquired Immuno Deficiency Syndrome. AIDS is a medical condition caused by the Human Immunodeficiency Virus (HIV) that attacks the immune system, making it difficult for the body to fight off infections and diseases.

Option 1 - Active Immuno Deficiency Syndrome is incorrect. There is no reference to "active" in the expansion of AIDS.

Option 2 - Acquired Individual Disease Syndrome is incorrect. There is no mention of "individual" in the expansion of AIDS.

Option 4 - Acquired Immuno Disease Syndrome is incorrect. While "disease" is a component, the correct term is "deficiency" in the expansion of AIDS.

Therefore, the correct answer is option 3.