Question: Factor the following if possible.
16x^2 - 121
Select the correct response:
(4x + 13)(4x - 13)
(4x - 11)(4x + 11)
1. **State the problem:** Factor the expression $$16x^2 - 121$$ if possible.
2. **Recognize the formula:** This expression is a difference of squares, which follows the formula $$a^2 - b^2 = (a + b)(a - b)$$.
3. **Identify squares:** Here, $$16x^2 = (4x)^2$$ and $$121 = 11^2$$.
4. **Apply the difference of squares formula:**
$$16x^2 - 121 = (4x)^2 - 11^2 = (4x + 11)(4x - 11)$$
5. **Check the options:**
- Option 1: $$(4x + 13)(4x - 13)$$ uses 13 instead of 11, so it is incorrect.
- Option 2: $$(4x - 11)(4x + 11)$$ matches the factorization.
**Final answer:** $$(4x - 11)(4x + 11)$$