(-7+7i)-(3+2i)-(i)

Jasonbradley

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Jun 16, 2024

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Simplifying Complex Numbers

This article will guide you through the process of simplifying the following complex number expression: (-7+7i)-(3+2i)-(i).

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, defined as the square root of -1 (i² = -1).

Simplifying the Expression

1. Distribute the negative signs: (-7 + 7i) - (3 + 2i) - (i) = -7 + 7i - 3 - 2i - i

2. Combine real and imaginary terms: (-7 - 3) + (7 - 2 - 1)i

3. Simplify: -10 + 4i

Result

Therefore, the simplified form of (-7+7i)-(3+2i)-(i) is -10 + 4i.