The difference of squares identity states that \( a^2 - b^2 = (a - b)(a + b) \).
To apply this to \( 13 \times 19 \), we can express this product in the form of a difference of squares. We notice that \( 16^2 = 256 \), which can be broken down into:
\[ 13 \times 19 = (16 - 3)(16 + 3) \]
This allows us to use \( a = 16 \) and \( b = 3 \), resulting in:
\[ 16^2 - 3^2 = 256 - 9 = 247 \]
Therefore, \( 13 \times 19 \) can be rewritten using the difference of squares identity as:
(16−3)(16+3) \[ \text{(16 - 3)(16 + 3)} \]
This is the correct response.