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(80 i)-(80+10 i)=
Express your answer in the form
(a+bi).

$(80 i)-(80+10 i)=$ $\newline$ Express your answer in the form $(a+b i)$ .

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Add, subtract, multiply, and divide complex numbers

Full solution

Q.

(80 i)-(80+10 i)=

\newline

Express your answer in the form

(a+b i)

.

Identify Complex Numbers: Identify the real and imaginary parts of the complex numbers. $\newline$ The first complex number is $80i$ , which has $0$ as its real part and $80$ as its imaginary part. $\newline$ The second complex number is $80 + 10i$ , which has $80$ as its real part and $10$ as its imaginary part.
Subtract Real and Imaginary Parts: Subtract the real parts and the imaginary parts separately. $\newline$ Subtract the real part of the second complex number from the real part of the first complex number (which is $0$ ), and subtract the imaginary part of the second complex number from the imaginary part of the first complex number. $\newline$ Real parts: $0 - 80 = -80$ $\newline$ Imaginary parts: $80i - 10i = 70i$
Combine Results: Combine the results to express the answer in the form $a + bi$ . $\newline$ Combine the real part and the imaginary part obtained from Step $2$ . $\newline$ $-80 + 70i$

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