1. **State the problem:** Expand the expression $2(x-4)(x+4)$. 2. **Recall the formula:** The product of two binomials of the form $(a-b)(a+b)$ is a difference of squares: $$ (a-b)(a+b) = a^2 - b^2 $$ 3. **Apply the formula:** Here, $a = x$ and $b = 4$, so $$ (x-4)(x+4) = x^2 - 4^2 = x^2 - 16 $$ 4. **Multiply by 2:** Now multiply the result by 2: $$ 2(x^2 - 16) = 2x^2 - 32 $$ 5. **Final answer:** The expanded form is $$ 2x^2 - 32 $$