(2+6i)-(3-5i)-(5-3i)

Jasonbradley

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Jun 16, 2024

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Simplifying Complex Numbers

This article will guide you through simplifying the complex number expression: (2 + 6i) - (3 - 5i) - (5 - 3i).

Understanding Complex Numbers

Complex numbers are numbers that consist of a real part and an imaginary part. The imaginary part is denoted by the symbol "i", where i² = -1.

Simplifying the Expression

1. Distribute the negative signs:

   • (2 + 6i) - (3 - 5i) - (5 - 3i) = 2 + 6i - 3 + 5i - 5 + 3i

2. Combine the real terms:

   • 2 - 3 - 5 = -6

3. Combine the imaginary terms:

   • 6i + 5i + 3i = 14i

4. Write the simplified result:

   • -6 + 14i

Conclusion

Therefore, the simplified form of the expression (2 + 6i) - (3 - 5i) - (5 - 3i) is -6 + 14i.