multiply.
$(6 - 6i)(-2 + 4i)$
write your answer as a complex number in standard form.

Question

Accepted Answer

# Explanation:
## Step1: Apply the distributive property (FOIL method)
We multiply each term in the first complex number by each term in the second complex number:
$$
\begin{align*}
(6 - 6i)(-2 + 4i)&=6\times(-2)+6\times4i-6i\times(-2)-6i\times4i\
&=-12 + 24i + 12i - 24i^2
\end{align*}
$$
## Step2: Simplify using $i^2=-1$
Recall that $i^2 = - 1$, so we substitute $-1$ for $i^2$ in the expression:
$$
\begin{align*}
-12 + 24i + 12i - 24i^2&=-12 + 24i + 12i - 24\times(-1)\
&=-12 + 24i + 12i + 24
\end{align*}
$$
## Step3: Combine like terms
Combine the real parts and the imaginary parts separately:
The real parts are $-12$ and $24$, and the imaginary parts are $24i$ and $12i$.
$$
\begin{align*}
(-12 + 24)+(24i + 12i)&=12 + 36i
\end{align*}
$$

# Answer:
$12 + 36i$

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QUESTION IMAGE

Question

Explanation:

Step1: Apply the distributive property (FOIL method)

Step2: Simplify using \(i^2=-1\)

Step3: Combine like terms

Answer: