Question: User: 49x^2 - 64y^2
1. **State the problem:** Factor the expression $$49x^2 - 64y^2$$.
2. **Recognize the formula:** This is a difference of squares, which follows the formula $$a^2 - b^2 = (a - b)(a + b)$$.
3. **Identify squares:** Here, $$49x^2 = (7x)^2$$ and $$64y^2 = (8y)^2$$.
4. **Apply the difference of squares formula:**
$$49x^2 - 64y^2 = (7x)^2 - (8y)^2 = (7x - 8y)(7x + 8y)$$.
5. **Final answer:** The factored form is $$\boxed{(7x - 8y)(7x + 8y)}$$.