This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
To add complex numbers, we add their real parts together and their imaginary parts together. Step 1: Identify the real and imaginary parts of each complex number. For the first complex number, 2 + 5i: The real part is 2. The imaginary part is 5i. For the second complex number, 3 - 2i: The real part is 3. The imaginary part is -2i. Step 2: Add the real parts. 2 + 3 = 5 Step 3: Add the imaginary parts. 5i + (-2i) = 5i - 2i = 3i Step 4: Combine the sums of the real and imaginary parts to get the final complex number. (2 + 5i) + (3 - 2i) = 5 + 3i The final answer is 5 + 3i. That's 2 down. 3 left today — send the next one.