Answer:
(4 + 11x)(4 - 11x)
Explanation:
To factor the expression 16 - 121x^2 completely, we need to recognize it as a difference of squares. The difference of squares formula states that:
a^2 - b^2 = (a + b)(a - b)
In this case, we have 16 as a perfect square (4^2) and 121x^2 as a perfect square (11x)^2. Applying the formula, we can rewrite the expression as:
16 - 121x^2 = (4)^2 - (11x)^2
Using the difference of squares formula, we have:
= (4 + 11x)(4 - 11x)