## Adding Complex Numbers: (8 + 3i) + (-6 - 12i)

This article will demonstrate how to add two complex numbers: (8 + 3i) + (-6 - 12i).

### Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form **a + bi**, where *a* and *b* are real numbers, and *i* is the imaginary unit, defined as the square root of -1.

**Real Part:**The real part of a complex number is the constant term (*a*).**Imaginary Part:**The imaginary part of a complex number is the coefficient of*i*(*b*).

### Adding Complex Numbers

To add complex numbers, we simply **add the real parts and the imaginary parts separately**.

**Step 1:** Identify the real and imaginary parts of each complex number:

- (8 + 3i): Real part = 8, Imaginary part = 3
- (-6 - 12i): Real part = -6, Imaginary part = -12

**Step 2:** Add the real parts: 8 + (-6) = 2

**Step 3:** Add the imaginary parts: 3 + (-12) = -9

**Step 4:** Combine the results: 2 + (-9)i = **2 - 9i**