Multiply the polynomial (b+8)(3b−6) to simplify.(1 point)%0D%0AResponses%0D%0A%0D%0A3b2+30b−48%0D%0A3 b squared plus 30 b minus 48%0D%0A%0D%0Ab2+30b−48%0D%0Ab squared plus 30 b minus 48%0D%0A%0D%0A3b2+18b−48%0D%0A3 b squared plus 18 b minus 48%0D%0A%0D%0Ab2+18b−36

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

1. Multiply the first terms:
\(b \cdot 3b = 3b^2\)

2. Multiply the outer terms:
\(b \cdot (-6) = -6b\)

3. Multiply the inner terms:
\(8 \cdot 3b = 24b\)

4. Multiply the last terms:
\(8 \cdot (-6) = -48\)

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

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

Thus, the result of multiplying \((b + 8)(3b - 6)\) simplifies to:
\[
\boxed{3b^2 + 18b - 48}
\]