Question

Multiply the polynomial (b + 8) (3b - 6) to simplify. (1 point)
• 362 + 186 - 48
0 62 + 186 - 36
0 62 + 306 - 48
• 362 + 306 - 48

Answer 1

To simplify the polynomial \((b + 8)(3b - 6)\), 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. **Outer:** Multiply the outer terms:
\(b \cdot (-6) = -6b\)

3. **Inner:** Multiply the inner terms:
\(8 \cdot 3b = 24b\)

4. **Last:** Multiply the last terms:
\(8 \cdot (-6) = -48\)

Now, combine all these results together:
\[
3b^2 - 6b + 24b - 48
\]

Combine the like terms:
\[
3b^2 + (24b - 6b) - 48 = 3b^2 + 18b - 48
\]

Now, looking at the options provided, none perfectly match \(3b^2 + 18b - 48\). It seems like the closest might be:

- \(362 + 186 - 48\): if we interpret this as \(3b^2 + 18b - 48\).

So the answer would be:
- \(3b^2 + 18b - 48\) which corresponds to **none** of the given options explicitly. If I had to choose the closest, it would be **362 + 186 - 48**.