Find the product. Simplify your answer. \[ (2 p+4)(p-4) \]

To find the product of \( (2p + 4)(p - 4) \), we can use the distributive property (also known as the FOIL method for binomials). 1. Multiply the first terms: \( 2p \times p = 2p^2 \). 2. Multiply the outer terms: \( 2p \times (-4) = -8p \). 3. Multiply the inner terms: \( 4 \times p = 4p \). 4. Multiply the last terms: \( 4 \times (-4) = -16 \). Now, combine all these results: \[ 2p^2 - 8p + 4p - 16 \] Next, combine like terms: \[ 2p^2 - 4p - 16 \] Thus, the simplified product is: \[ \boxed{2p^2 - 4p - 16} \]