Question

In the following perform the indicated operations and write the result in the form x + iy: (3+2i)-(8+16i)

Answer 1

Subtracting the complex numbers (3+2i) and (8+16i) by separately subtracting the real and imaginary parts provides the result -5 - 14i.

Step-by-step explanation:

The student is asked to perform subtraction on two complex numbers and write the result in the form x + iy. To subtract the complex numbers (3+2i) and (8+16i), we subtract the real parts and the imaginary parts separately:

• Subtract the real parts: 3 - 8 = -5.
• Subtract the imaginary parts: 2i - 16i = -14i.

After performing the subtraction, we combine the results to get the final answer in the form x + iy:

-5 - 14i