Multiply the polynomial (b+8)(3b−6) to simplify.(1 point)

To multiply the polynomial \((b + 8)(3b - 6)\), we can use the distributive property (also known as the FOIL method for binomials):

1. First, multiply the first terms:
\[
b \cdot 3b = 3b^2
\]

2. Next, multiply the outer terms:
\[
b \cdot (-6) = -6b
\]

3. Then, multiply the inner terms:
\[
8 \cdot 3b = 24b
\]

4. Lastly, multiply the last terms:
\[
8 \cdot (-6) = -48
\]

Now, we combine all these results:
\[
3b^2 - 6b + 24b - 48
\]

Combine the like terms:
\[
3b^2 + ( -6b + 24b) - 48 = 3b^2 + 18b - 48
\]

Thus, the simplified polynomial is:
\[
\boxed{3b^2 + 18b - 48}
\]

Therefore, the correct response is:
**3b^2 + 18b - 48** (or "3 b squared plus 18 b minus 48").