## Subtracting Complex Numbers: (7 - 2i) - (2 + 6i)

This article will guide you through the steps of subtracting the complex numbers (7 - 2i) and (2 + 6i).

### Understanding Complex Numbers

A complex number is a number 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 term without the*i*. In this case, the real parts of (7 - 2i) and (2 + 6i) are 7 and 2, respectively.**Imaginary Part:**The imaginary part of a complex number is the term multiplied by*i*. In this case, the imaginary parts of (7 - 2i) and (2 + 6i) are -2 and 6, respectively.

### Subtracting Complex Numbers

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

**Subtract the real parts:**7 - 2 = 5**Subtract the imaginary parts:**(-2) - 6 = -8

Therefore, (7 - 2i) - (2 + 6i) = **5 - 8i**.

### Conclusion

Subtracting complex numbers is straightforward. We simply subtract the real parts and the imaginary parts independently. By following this process, we can find the result of (7 - 2i) - (2 + 6i) to be **5 - 8i**.