(-2+3i)+3(-1/2i+1)-(2i)

Jasonbradley

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Jun 16, 2024

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Simplifying Complex Numbers

This article will walk through the process of simplifying the following complex number expression:

(-2 + 3i) + 3(-1/2i + 1) - (2i)

Step 1: Distribute

First, distribute the 3 to the terms inside the parentheses:

(-2 + 3i) + (-3/2i + 3) - (2i)

Step 2: Combine Real and Imaginary Terms

Next, combine the real terms and the imaginary terms separately:

(-2 + 3) + (3i - 3/2i - 2i)

Step 3: Simplify

Finally, simplify the expression:

1 + (-5/2i)

Result

Therefore, the simplified form of the complex number expression (-2 + 3i) + 3(-1/2i + 1) - (2i) is 1 - (5/2)i.