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

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To multiply the polynomials (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. Finally, multiply the last terms:
    \( 8 \cdot (-6) = -48 \)

Now, combine all these results:

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

Combine the like terms (\(-6b + 24b\)):

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

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

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