1. **State the problem:** Simplify the expression $X^2 - 4$.
2. **Formula and rules:** Recognize that $X^2 - 4$ is a difference of squares, which follows the formula:
$$a^2 - b^2 = (a - b)(a + b)$$
where $a = X$ and $b = 2$.
3. **Apply the formula:**
$$X^2 - 4 = (X - 2)(X + 2)$$
4. **Explanation:** The difference of squares factorization allows us to rewrite the expression as a product of two binomials, which can be useful for solving equations or simplifying expressions.
**Final answer:**
$$X^2 - 4 = (X - 2)(X + 2)$$
Difference Squares Edea09
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.