Find the product. Simplify your answer. \[ (3 g-4)(4 g+2) \]

To find the product of \( (3g - 4)(4g + 2) \), we can use the distributive property (also known as the FOIL method for binomials): 1. First, multiply the first terms: \( 3g \times 4g = 12g^2 \) 2. Next, multiply the outer terms: \( 3g \times 2 = 6g \) 3. Then, multiply the inner terms: \( -4 \times 4g = -16g \) 4. Finally, multiply the last terms: \( -4 \times 2 = -8 \) Now, combine all these results: \[ 12g^2 + 6g - 16g - 8 \] Combine the like terms: \[ 12g^2 - 10g - 8 \] So, the simplified product is: \[ \boxed{12g^2 - 10g - 8} \]