Perform the indicated operations & simplify, give your answer in standard form.
Add: (18−23i) + (21+20i)
The answer is....... (39 - 3 i) <----The answer
Whew ! Yes :)
To add two complex numbers, we simply add their real parts and their imaginary parts separately.
Let's break down the addition step-by-step:
Step 1: Add the real parts.
The real parts are 18 and 21. Adding them together gives:
18 + 21 = 39
Step 2: Add the imaginary parts.
The imaginary parts are -23i and 20i. Adding them together gives:
-23i + 20i = -3i
Step 3: Combine the real and imaginary parts.
Putting the real part and the imaginary part together, we get:
39 - 3i
Therefore, the simplified form of (18 - 23i) + (21 + 20i) is 39 - 3i.