(-6+10i)-(1-2i)

Jasonbradley

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Jun 16, 2024

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Subtracting Complex Numbers: (-6 + 10i) - (1 - 2i)

This article will walk through the steps of subtracting complex numbers. We will focus on the example (-6 + 10i) - (1 - 2i).

Understanding Complex Numbers

Complex numbers are numbers that can be expressed in the form a + bi, where 'a' and 'b' are real numbers and 'i' is the imaginary unit. The imaginary unit 'i' is defined as the square root of -1.

Subtracting Complex Numbers

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

Solving the Example

Let's apply this to our example: (-6 + 10i) - (1 - 2i)

1. Distribute the negative sign: (-6 + 10i) + (-1 + 2i)

2. Combine the real parts and the imaginary parts: (-6 - 1) + (10 + 2)i

3. Simplify: -7 + 12i

Final Result

Therefore, (-6 + 10i) - (1 - 2i) = -7 + 12i.

This is the simplified form of the complex number resulting from the subtraction.