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12*(9-7i)=
Your answer should be a complex number in the form
a+bi where
a and
b are real numbers.

$12 \cdot(9-7 i)=$ $\newline$ 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(9-7 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 $12$ : Multiply the real part of the complex number by $12$ . $\newline$ We have the real part of the complex number, which is $9$ . Multiplying this by $12$ gives us: $\newline$ $12 \times 9 = 108$
Multiply imaginary part by $12$ : Multiply the imaginary part of the complex number by $12$ . $\newline$ The imaginary part of the complex number is $-7i$ . Multiplying this by $12$ gives us: $\newline$ $12 \times (-7i) = -84i$
Combine results for final answer: Combine the results from Step $1$ and Step $2$ to get the final answer. $\newline$ Adding the real part from Step $1$ to the imaginary part from Step $2$ gives us: $\newline$ $108 + (-84i) = 108 - 84i$ $\newline$ This is the final answer in the form of a complex number $a+bi$ .

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