multiply.
(-4 - 4i)(-6 + 5i)
write your answer as a complex number in standard form.

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:
$$
\begin{align*}
(-4 - 4i)(-6 + 5i)&= (-4)(-6)+(-4)(5i)+(-4i)(-6)+(-4i)(5i)\
&= 24 - 20i + 24i - 20i^2
\end{align*}
$$
## Step2: Simplify using $i^2 = -1$
Combine like terms and substitute $i^2 = -1$:
$$
\begin{align*}
24 - 20i + 24i - 20i^2&= 24 + ( - 20i + 24i)- 20(-1)\
&= 24 + 4i + 20
\end{align*}
$$
## Step3: Combine the real parts
Add the real numbers together:
$$
24 + 20 + 4i = 44 + 4i
$$

# Answer:
$44 + 4i$

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QUESTION IMAGE

Question

Explanation:

Step1: Apply the distributive property (FOIL method)

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

Step3: Combine the real parts

Answer: