Question: Expand the expression: $(x + 8)(x - 8)$
1. **State the problem:** We need to expand the expression $$(x + 8)(x - 8)$$.
2. **Recall the formula:** This is a product of conjugates, which follows the difference of squares formula:
$$ (a + b)(a - b) = a^2 - b^2 $$
3. **Apply the formula:** Here, $a = x$ and $b = 8$, so:
$$ (x + 8)(x - 8) = x^2 - 8^2 $$
4. **Calculate the square:**
$$ 8^2 = 64 $$
5. **Write the final expanded form:**
$$ x^2 - 64 $$
**Answer:** The correct expansion is $x^2 - 64$.