Question

Multiply (2 + 3𝑖)(4 − 𝑖

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Answer to a math question Multiply (2 + 3𝑖)(4 − 𝑖

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Hermann

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126 Answers

Solution:
1. Given complex numbers:
-

a = 2 + 3i

b = 4 - i

2. Perform the multiplication using the distributive property (FOIL method):
- Multiply the first terms:

2 \cdot 4 = 8

- Multiply the outer terms:

2 \cdot (-i) = -2i

- Multiply the inner terms:

3i \cdot 4 = 12i

- Multiply the last terms:

3i \cdot (-i) = -3i^2

3. Simplify the expression:
- Combine like terms:

8 - 2i + 12i - 3i^2

- Note that

i^2 = -1

, so

-3i^2 = 3

4. Simplify further:
-

8 + 10i + 3

- Combine the real parts:

8 + 3 = 11

- Final expression:

11 + 10i

The product of the complex numbers is

11 + 10i

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Multiply (2 + 3𝑖)(4 − 𝑖

Answer to a math question Multiply (2 + 3𝑖)(4 − 𝑖

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