Question

(4 - 3i) + (12 - 9i)

Explanation:

Step1: Combine real parts

To add complex numbers, we first combine the real parts. The real parts are \(4\) and \(12\). So, \(4 + 12 = 16\).

Step2: Combine imaginary parts

Next, we combine the imaginary parts. The imaginary parts are \(-3i\) and \(-9i\). So, \(-3i + (-9i) = -12i\).

Step3: Combine results

Now, we combine the results from the real and imaginary parts. So, \((4 - 3i)+(12 - 9i)=16 - 12i\).

Answer:

\(16 - 12i\)