## Subtracting Complex Numbers: (5-2i) - (6-8i)

This article will guide you through the process of subtracting complex numbers, using the example of **(5 - 2i) - (6 - 8i)**.

### Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form **a + bi**, where:

**a**and**b**are real numbers.**i**is the imaginary unit, where**i² = -1**.

### Subtracting Complex Numbers

To subtract complex numbers, we simply subtract the real and imaginary components separately.

**Step 1:** Distribute the negative sign:

**(5 - 2i) - (6 - 8i) = 5 - 2i - 6 + 8i**

**Step 2:** Combine the real terms and the imaginary terms:

**(5 - 6) + (-2 + 8)i**

**Step 3:** Simplify the expression:

**-1 + 6i**

Therefore, **(5 - 2i) - (6 - 8i) = -1 + 6i**.

### Key Points to Remember

- When subtracting complex numbers, we subtract the real parts and the imaginary parts separately.
- The imaginary unit 'i' is treated as a variable.
- The final answer should be in the form a + bi, where a and b are real numbers.

By following these steps, you can confidently subtract complex numbers and understand the basic operations with them.