(-4-i)+(-1+7i)+(6i)

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:

(-4 - i) + (-1 + 7i) + (6i)

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.

Simplifying the Expression

1. Group real and imaginary terms:

   (-4 - i) + (-1 + 7i) + (6i) = (-4 - 1) + (-1 + 7 + 6)i

2. Combine like terms:

   = -5 + 12i

Result

Therefore, the simplified form of the expression (-4 - i) + (-1 + 7i) + (6i) is -5 + 12i.