Question

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

3b2+18b−48
3 b squared plus 18 b minus 48

b2+30b−48
b squared plus 30 b minus 48

3b2+30b−48

Answer 1

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

Here's the step-by-step multiplication:

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 like terms:
\(-6b + 24b = 18b\)

Thus, the simplified result is:
\[
3b^2 + 18b - 48
\]

So the correct response is:
**3b² + 18b - 48**