multiply. write the answer in standard form.
(-1 + 8i)(9 + 3i) = \square

Question

Accepted Answer

# Explanation:
## Step1: Apply the distributive property (FOIL method)
Multiply each term in the first complex number by each term in the second complex number:
$$
\begin{align*}
(-1 + 8i)(9 + 3i)&=-1\times9+(-1)\times3i + 8i\times9+8i\times3i\
&=-9-3i + 72i+24i^{2}
\end{align*}
$$
## Step2: Recall that $i^{2}=-1$
Substitute $i^{2} = - 1$ into the expression:
$$
\begin{align*}
-9-3i + 72i+24\times(-1)&=-9-3i + 72i-24\
&=(-9 - 24)+(-3i+72i)
\end{align*}
$$
## Step3: Combine like terms
Combine the real parts and the imaginary parts separately:
$$
\begin{align*}
(-9 - 24)+(-3i+72i)&=-33 + 69i
\end{align*}
$$
# Answer:
$-33 + 69i$

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QUESTION IMAGE

Question

Explanation:

Step1: Apply the distributive property (FOIL method)

Step2: Recall that \(i^{2}=-1\)

Step3: Combine like terms

Answer: