Find the product. Simplify your answer. \[ (3 p-1)(3 p+2) \]

To find the product of \( (3p - 1)(3p + 2) \), we can apply the distributive property (also known as the FOIL method for binomials). First, multiply the first terms: \( 3p \cdot 3p = 9p^2 \). Next, multiply the outer terms: \( 3p \cdot 2 = 6p \). Then, multiply the inner terms: \( -1 \cdot 3p = -3p \). Finally, multiply the last terms: \( -1 \cdot 2 = -2 \). Now, we combine all these results: \[ 9p^2 + 6p - 3p - 2. \] Combine like terms: \[ 9p^2 + (6p - 3p) - 2 = 9p^2 + 3p - 2. \] Thus, the simplified product is \[ \boxed{9p^2 + 3p - 2}. \]