Multiply the polynomial (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. 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 the results:

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

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

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

Thus, the result of multiplying the polynomials is:

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