To rewrite \( 13 \times 19 \) using the difference of two squares identity, you can express it in the form \( (a - b)(a + b) = a^2 - b^2 \).
We can find a suitable 'a' and 'b' such that:
\[ 13 \times 19 = (16 - 3)(16 + 3) \]
Here, \( a = 16 \) and \( b = 3 \). When you multiply this out, you get:
\[ (16 - 3)(16 + 3) = 16^2 - 3^2 = 256 - 9 = 247 \]
And indeed, \( 13 \times 19 = 247 \).
Thus, the correct response is:
\((16 - 3)(16 + 3)\)