1. **State the problem:** Multiply the conjugate binomials $ (d + 8)(d - 8) $ and simplify the result. 2. **Recall the formula:** The product of conjugate binomials $ (a + b)(a - b) $ equals $ a^2 - b^2 $. This is known as the difference of squares formula. 3. **Apply the formula:** Here, $ a = d $ and $ b = 8 $, so $$ (d + 8)(d - 8) = d^2 - 8^2 $$ 4. **Calculate the square:** $$ d^2 - 64 $$ 5. **Final answer:** The product simplifies to $$ d^2 - 64 $$ This means multiplying the conjugate binomials results in the difference of the squares of the terms.