Question

Combine the following complex numbers:
((1 - 2i) + ((2 - i) - (6 + 3i)))

Answer 1

To combine the given complex numbers, you separate and combine the real and imaginary parts, resulting in the combined complex number -3.

Step-by-step explanation:

To combine the complex numbers ((1 - 2i) + ((2 - i) - (6 + 3i))), you need to add and subtract the real and imaginary parts separately:

• Add/subtract the real parts: 1 + 2 - 6
• Add/subtract the imaginary parts: -2i - i + 3i

Combine the like terms for the real part: (1 + 2 - 6) = -3.

Combine the like terms for the imaginary part: (-2i - i + 3i) = 0i.

Thus, the combined complex number is -3 + 0i, which is simply -3.