Question

1. $(-4 + 2i) + (-8 + i)$

Explanation:

Step1: Combine real parts

To add complex numbers, we first combine the real parts. The real parts are \(-4\) and \(-8\). So we calculate \(-4 + (-8)\).
\(-4 + (-8) = -12\)

Step2: Combine imaginary parts

Next, we combine the imaginary parts. The imaginary parts are \(2i\) and \(i\). So we calculate \(2i + i\).
\(2i + i = 3i\)

Step3: Combine results

Now we combine the results from the real and imaginary parts.
\(-12 + 3i\)

Answer:

\(-12 + 3i\)