Question

(5 - i) + (-8 + 2i)

Explanation:

Step1: Combine real parts

To add the complex numbers, we first combine the real parts. The real parts are \(5\) and \(-8\). So we calculate \(5 + (-8)\).
\(5 + (-8)=5 - 8=-3\)

Step2: Combine imaginary parts

Next, we combine the imaginary parts. The imaginary parts are \(-i\) (which is \(-1i\)) and \(2i\). So we calculate \(-1i+2i\).
\(-1i + 2i=( - 1 + 2)i = i\)

Step3: Combine results

Now we combine the results from the real and imaginary parts. The real part result is \(-3\) and the imaginary part result is \(i\), so the sum is \(-3 + i\).

Answer:

\(-3 + i\)