(7-2i)-(2+6i)

Jasonbradley

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Jun 16, 2024

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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.

1. Subtract the real parts: 7 - 2 = 5
2. 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.