\( 1 \leftarrow | \)\begin{tabular}{l} Find the product. \\ \( p(4 p+1)(4 p-1) \) \\ \hline \\ \( p(4 p+1)(4 p-1)=\square \) \\ (Simplify your answer. \( ) \)\end{tabular}

To find the product \( p(4p+1)(4p-1) \), we start by recognizing that \((4p+1)(4p-1)\) is a difference of squares, which simplifies as follows: \[ (4p+1)(4p-1) = (4p)^2 - (1)^2 = 16p^2 - 1 \] Now we can multiply this result by \( p \): \[ p(16p^2 - 1) = 16p^3 - p \] So, the simplified answer is: \[ p(4p+1)(4p-1) = 16p^3 - p \]