-(6-8i).jpeg "(5-2i)-(6-8i)")
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.