The expression \( 16n^2 - 49 \) is a difference of squares. It can be factored using the formula \( a^2 - b^2 = (a - b)(a + b) \).
In this case:
- \( a^2 = 16n^2 \) implies \( a = 4n \)
- \( b^2 = 49 \) implies \( b = 7 \)
Now, applying the difference of squares formula:
\[ 16n^2 - 49 = (4n)^2 - 7^2 = (4n - 7)(4n + 7) \]
Thus, the complete factorization of \( 16n^2 - 49 \) is:
\[ \boxed{(4n - 7)(4n + 7)} \]