Question

add & subtract complex numbers
(7 - 10i) - (3 + 30i) =
express your answer in the form (a + bi).

Explanation:

Step1: Distribute the subtraction

To subtract the complex numbers, we first distribute the negative sign to the second complex number: \((7 - 10i) - (3 + 30i)=7 - 10i - 3 - 30i\)

Step2: Combine the real parts and the imaginary parts

For the real parts: \(7-3 = 4\)
For the imaginary parts: \(-10i-30i=-40i\)
Then we combine them to get the result: \(4-40i\)

Answer:

\(4 - 40i\)