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-12*(8-2i)=
Your answer should be a complex number in the form
a+bi where
a and
b are real numbers.

$-12 \cdot(8-2 i)=$ $\newline$ Your answer should be a complex number in the form $a+b i$ where $a$ and $b$ are real numbers.

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Write equations of cosine functions using properties

Full solution

Q.

-12 \cdot(8-2 i)=

\newline

Your answer should be a complex number in the form

a+b i

where

a

and

b

are real numbers.

Multiply real part by ext{-} $12$ : Multiply the real part of the complex number by ext{-} $12$ . $\newline$ To multiply a complex number by a real number, we multiply both the real part and the imaginary part of the complex number by the real number. $\newline$ ext{-} $12$ $\times$ $8$ = ext{-} $96$
Multiply imaginary part by $-12$ : Multiply the imaginary part of the complex number by -12＂).\(\newline\$-12 \times (-2i) = 24i\)
Combine results for final answer: Combine the results from Step \(1\) and Step \(2\) to get the final answer.\(\newline\)The real parts combine to give the real component of the answer, and the imaginary parts combine to give the imaginary component of the answer.\(\newline\)So, the final answer is \(-96 + 24i\).

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\newline

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