Question

what is the value of (13 - 2i) + (7 - 3i)?
a 1 + 4i
b 10 - 5i
c 15 - 23i
d 21 + 6i

Explanation:

Step1: Identify the operation

We need to add the two complex numbers \( (8 - 20i) \) and \( (7 - 5i) \).

Step2: Add the real parts

The real parts are \( 8 \) and \( 7 \). Adding them: \( 8 + 7 = 15 \).

Step3: Add the imaginary parts

The imaginary parts are \( -20i \) and \( -5i \). Adding them: \( -20i + (-5i) = -25i \).

Step4: Combine real and imaginary parts

Combining the results from Step 2 and Step 3, we get \( 15 - 25i \).

Answer:

C. \( 15 - 25i \)