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12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

12) (3 + 2i) + (5-3i) 13) (4 + 2i) (3 - 2i)

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter6: Quadratic Equations And Inequalities
Section6.1: Complex Numbers
Problem 101PS
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can anyone help with simplifying these two?
## Complex Number Operations ### Example Problems **12)** \[(3 + 2i) + (5 - 3i)\] **13)** \[(4 + 2i)(3 - 2i)\] --- #### Explanation: In problem 12, we are adding two complex numbers. The general formula for adding complex numbers \((a + bi) + (c + di)\) is to combine the real parts \(a\) and \(c\), and the imaginary parts \(b\) and \(d\). In problem 13, we are multiplying two complex numbers. To multiply complex numbers \((a + bi)(c + di)\), we use the distributive property (also known as FOIL), and remember \(i^2 = -1\). ---
Transcribed Image Text:## Complex Number Operations ### Example Problems **12)** \[(3 + 2i) + (5 - 3i)\] **13)** \[(4 + 2i)(3 - 2i)\] --- #### Explanation: In problem 12, we are adding two complex numbers. The general formula for adding complex numbers \((a + bi) + (c + di)\) is to combine the real parts \(a\) and \(c\), and the imaginary parts \(b\) and \(d\). In problem 13, we are multiplying two complex numbers. To multiply complex numbers \((a + bi)(c + di)\), we use the distributive property (also known as FOIL), and remember \(i^2 = -1\). ---
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