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8*(11 i+2)=
Your answer should be a complex number in the form
a+bi where
a and
b are real numbers.

$8 \cdot(11 i+2)=$ $\newline$ 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.

8 \cdot(11 i+2)=

\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 $8$ : Multiply the real part of the complex number by $8$ . $\newline$ We have the complex number $11i + 2$ , and we need to multiply both the real part $(2)$ and the imaginary part $(11i)$ by $8$ . $\newline$ Calculation: $8 \times 2 = 16$
Multiply imaginary part by $8$ : Multiply the imaginary part of the complex number by $8$ . $\newline$ Now we multiply the imaginary part, which is $11i$ , by $8$ . $\newline$ Calculation: $8 \times 11i = 88i$
Combine results: Combine the results from Step $1$ and Step $2$ . $\newline$ We add the real part from Step $1$ to the imaginary part from Step $2$ to get the final complex number. $\newline$ Calculation: $16 + 88i$

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