Distribute the multiplication. −4(3b

Question

3
−7b
2
)

Answer 1

To distribute \(-4\) across the expression \(3b^3 - 7b^2\), you multiply \(-4\) by each term inside the parentheses:

\[ -4(3b^3) + (-4)(-7b^2) \]

Now, perform the multiplication:

1. \(-4 \times 3b^3 = -12b^3\)
2. \(-4 \times -7b^2 = 28b^2\)

Putting these results together, we get:

\[ -12b^3 + 28b^2 \]

So the distribution of the multiplication results in:

\[ -12b^3 + 28b^2 \]