Question

simplify.

1. $(-8 - 2i) + (5 + 8i)$

Explanation:

Step1: Combine real parts

To simplify the expression \((-8 - 2i)+(5 + 8i)\), we first combine the real parts of the complex numbers. The real parts are \(-8\) and \(5\). So we calculate \(-8 + 5\).
\(-8+5=-3\)

Step2: Combine imaginary parts

Next, we combine the imaginary parts. The imaginary parts are \(-2i\) and \(8i\). So we calculate \(-2i + 8i\).
\(-2i + 8i = 6i\)

Step3: Combine results

Now we combine the results from the real and imaginary parts.
\(-3+6i\)

Answer:

\(-3 + 6i\)