Factor Difference Squares B1912A

1. **State the problem:** Factor the expression $$x^2 - 64$$ completely. 2. **Recognize the formula:** This is a difference of squares, which follows the formula $$a^2 - b^2 = (a - b)(a + b)$$. 3. **Identify terms:** Here, $$a = x$$ and $$b = 8$$ because $$64 = 8^2$$. 4. **Apply the formula:** $$x^2 - 64 = (x - 8)(x + 8)$$ 5. **Final answer:** The completely factored form is $$(x - 8)(x + 8)$$.