(-10 i)+(-40+8i)= Express your answer in the form (a+bi).

Combine Like Terms: First, we need to combine like terms. The like terms are the imaginary parts (-10i and 8i) and the real parts (0 and -40, since there is no real part with -10i). (-10i) + (-40 + 8i) = (-10i + 8i) + (-40)Simplify Imaginary Parts: Now, we simplify the imaginary parts by adding them together. -10i + 8i = -2iCombine Real and Imaginary Parts: Next, we combine the simplified imaginary part with the real part. -2i + (-40) = -40 - 2iStandard Form: The expression is now in the standard form a + bi, where a is the real part and b is the coefficient of the imaginary part. So, the simplified form is -40 - 2i.

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(-10 i)+(-40+8i)=
Express your answer in the form
(a+bi).

$(-10 i)+(-40+8 i)=$ $\newline$ Express your answer in the form $(a+b i)$ .

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Algebra 2

Add, subtract, multiply, and divide complex numbers

Full solution

(-10 i)+(-40+8 i)=

\newline

Express your answer in the form

(a+b i)

Combine Like Terms: First, we need to combine like terms. The like terms are the imaginary parts $(-10i$ and $8i$ ) and the real parts $(0$ and $-40$ , since there is no real part with $-10i$ ). $\newline$ $(-10i) + (-40 + 8i) = (-10i + 8i) + (-40$
Simplify Imaginary Parts: Now, we simplify the imaginary parts by adding them together. $-10i + 8i = -2i$
Combine Real and Imaginary Parts: Next, we combine the simplified imaginary part with the real part. $\newline$ $-2i + (-40) = -40 - 2i$
Standard Form: The expression is now in the standard form $a + bi$ , where $a$ is the real part and $b$ is the coefficient of the imaginary part. $\newline$ So, the simplified form is $-40 - 2i$ .