Distribute the multiplication. −8(2b

Question

3
−4b
2
−b)

Answer 1

To distribute \(-8\) to each term inside the parentheses \((2b^3 - 4b^2 - b)\), you can follow these steps:

1. Multiply \(-8\) by \(2b^3\): \[ -8 \cdot 2b^3 = -16b^3 \]

2. Multiply \(-8\) by \(-4b^2\): \[ -8 \cdot -4b^2 = 32b^2 \]

3. Multiply \(-8\) by \(-b\): \[ -8 \cdot -b = 8b \]

Now, combine all the results:

\[ -16b^3 + 32b^2 + 8b \]

Thus, the final expression after distributing is:

\[ \boxed{-16b^3 + 32b^2 + 8b} \]