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

less than a minute read Jun 16, 2024
(2+6i)-(3-5i)-(5-3i)

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.

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