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7*(2i+12)=
Your answer should be a complex number in the form
a+bi where
a and
b are real numbers.

$7 \cdot(2 i+12)=$ $\newline$ 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.

7 \cdot(2 i+12)=

\newline

Your answer should be a complex number in the form

a+b i

where

a

and

b

are real numbers.

Distribute multiplication: Distribute the multiplication of $7$ to both terms inside the parentheses. $\newline$ $7 \times (2i + 12)$ $\newline$ = $7 \times 2i + 7 \times 12$
Perform multiplication: Perform the multiplication for each term. $\newline$ $= 14i + 84$
Write in $a+bi$ form: Write the result in the form $a + bi$ . $\newline$ The real part ( $a$ ) is $84$ , and the imaginary part ( $b$ ) is $14$ . $\newline$ So, the complex number in the form $a + bi$ is $84 + 14i$ .

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