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

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