Multiply the polynomial

Question

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:

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