Question

simplify.
(3 - 5i) - (-1 + 8i)
? + i

Explanation:

Step1: Remove parentheses

To simplify the expression \((3 - 5i) - (-1 + 8i)\), we first remove the parentheses. When we distribute the negative sign to the terms inside the second parentheses, we get:
\(3 - 5i + 1 - 8i\)

Step2: Combine real parts and imaginary parts

Next, we combine the real number parts (the terms without \(i\)) and the imaginary parts (the terms with \(i\)) separately.
For the real parts: \(3 + 1 = 4\)
For the imaginary parts: \(-5i - 8i = -13i\)

Answer:

\(4 + (-13)i\) (or simply \(4 - 13i\))