Find the product and simplify. \( (-3 a+1)(3 a+2) \)

To find the product \((-3a + 1)(3a + 2)\), we use the distributive property (also known as the FOIL method for binomials): 1. First terms: \(-3a \cdot 3a = -9a^2\) 2. Outer terms: \(-3a \cdot 2 = -6a\) 3. Inner terms: \(1 \cdot 3a = 3a\) 4. Last terms: \(1 \cdot 2 = 2\) Now we add all these together: \(-9a^2 - 6a + 3a + 2\) Combine the like terms: \(-9a^2 - 3a + 2\) So, the simplified product is: \(-9a^2 - 3a + 2\)