To rewrite \( 13 \times 19 \) using the difference of two squares identity, we start by noticing that \( 13 \) and \( 19 \) can be expressed in terms of \( 16 \) (the average of \( 13 \) and \( 19 \)):
We can represent \( 13 \) as \( 16 - 3 \) and \( 19 \) as \( 16 + 3 \). Therefore:
\[ 13 \times 19 = (16 - 3)(16 + 3) \]
Using the difference of squares identity, which states that \( (a - b)(a + b) = a^2 - b^2 \), we can see that this expression matches the form.
Therefore, the correct response is:
\[ (16 - 3)(16 + 3) \]