Question

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

Answer 1

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

1. **First**: \(b \cdot 3b = 3b^2\)
2. **Outer**: \(b \cdot (-6) = -6b\)
3. **Inner**: \(8 \cdot 3b = 24b\)
4. **Last**: \(8 \cdot (-6) = -48\)

Now, combine all these results:

\[
3b^2 - 6b + 24b - 48
\]

Next, combine the like terms \(-6b\) and \(24b\):

\[
3b^2 + 18b - 48
\]

So, the simplified result of multiplying the polynomials \((b + 8)(3b - 6)\) is:

\[
\boxed{3b^2 + 18b - 48}
\]