1. **State the problem:** Simplify the expression $$(2a+b)(2a-2b)$$. 2. **Use the distributive property (FOIL method):** Multiply each term in the first parenthesis by each term in the second parenthesis. 3. **Calculate each product:** - First: $2a \times 2a = 4a^2$ - Outer: $2a \times (-2b) = -4ab$ - Inner: $b \times 2a = 2ab$ - Last: $b \times (-2b) = -2b^2$ 4. **Combine like terms:** $$4a^2 - 4ab + 2ab - 2b^2 = 4a^2 - 2ab - 2b^2$$ 5. **Final simplified expression:** $$4a^2 - 2ab - 2b^2$$ This is the simplified form of the given expression.