Question

distribute and simplify (4x - 4)(-4x + 6). drag and drop the
(4x - 4)(-4x + 6)

4x - 4

-4x -16x^2 16x

6 24x -24

correct! now write the simplified answer in the box below.

Explanation:

Step1: Multiply terms using FOIL

We multiply each term in the first - binomial by each term in the second binomial. The table shows the multiplications: \((4x)\times(-4x)=-16x^{2}\), \((4x)\times6 = 24x\), \((-4)\times(-4x)=16x\), \((-4)\times6=-24\).

Step2: Combine like - terms

We combine the \(x\) - terms \(24x\) and \(16x\). The expression becomes \(-16x^{2}+(24x + 16x)-24\).
\[

$$\begin{align*} &-16x^{2}+(24x + 16x)-24\\ =&-16x^{2}+40x-24 \end{align*}$$

\]

Answer:

\(-16x^{2}+40x - 24\)