(3-4i)-(-5+7i)

Jasonbradley

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Jun 16, 2024

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Adding Complex Numbers: (3-4i) - (-5 + 7i)

This article will guide you through the process of adding complex numbers, specifically focusing on the expression (3-4i) - (-5 + 7i).

Understanding Complex Numbers

Complex numbers are expressed in the form a + bi, where:

• a is the real part
• b is the imaginary part
• i is the imaginary unit, where i² = -1

Adding Complex Numbers

Adding complex numbers is done by adding their real parts and their imaginary parts separately. Let's break down the given expression:

(3-4i) - (-5 + 7i)

1. Distribute the negative sign: This is the same as adding the opposite. (3 - 4i) + (5 - 7i)

2. Combine real parts and imaginary parts: (3 + 5) + (-4 - 7)i

3. Simplify: 8 - 11i

Conclusion

Therefore, the result of (3-4i) - (-5 + 7i) is 8 - 11i. By understanding how to add complex numbers, you can confidently work with these mathematical expressions.