https://file.aiquickdraw.com/mathbot/file/1728183810158jjxwdhv7.jpg

Let me extract and solve the problems from the image you've uploaded. Here are the questions I see:

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**Question 17:**  
Hasil dari \( (2 + 3i) + (4 - 5i) \) adalah:  
A. \( 2 - 6i \)  
B. \( 3 - 5i \)  
C. \( 4 - 4i \)  
D. \( 5 - 3i \)  
E. \( 6 - 2i \)  

**Solution for Question 17:**  
We add the real and imaginary parts separately:  
Real part: \( 2 + 4 = 6 \)  
Imaginary part: \( 3i + (-5i) = -2i \)  
So, the result is \( 6 - 2i \).  
**Answer: E**

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**Question 18:**  
Bilangan yang bagian riil = 10 dan bagian imajiner = \( 3i \) adalah:  
A. \( 10 + 3i \)  
B. \( 10i + 3 \)  
C. \( 10i - 3i \)  
D. \( 10 - 3i \)  
E. \( 10i - 3 \)  

**Solution for Question 18:**  
The real part is 10, and the imaginary part is \( 3i \), so the number is \( 10 + 3i \).  
**Answer: A**

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**Question 19:**  
Hasil dari \( 3(4 - 5i) \) adalah:  
A. \( 7 - 5i \)  
B. \( 12 - 15i \)  
C. \( 15 - 7i \)  
D. \( 12 - 5i \)  
E. \( 12i - 5i \)  

**Solution for Question 19:**  
Distribute the 3 over both terms:  
Real part: \( 3 \times 4 = 12 \)  
Imaginary part: \( 3 \times (-5i) = -15i \)  
So, the result is \( 12 - 15i \).  
**Answer: B**

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**Question 20:**  
Hasil dari \( (2i - 4) - (3 - 7i) \) adalah:  
A. \( 7 + 9 \)  
B. \( -7 + 9i \)  
C. \( 7i + 9 \)  
D. \( 7 - 9i \)  
E. \( 7i - 9 \)  

**Solution for Question 20:**  
Distribute the negative sign:  
\( (2i - 4) - (3 - 7i) = 2i - 4 - 3 + 7i \)  
Combine real and imaginary parts:  
Real part: \( -4 - 3 = -7 \)  
Imaginary part: \( 2i + 7i = 9i \)  
So, the result is \( -7 + 9i \).  
**Answer: B**

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Would you like further details or explanations on any of the problems? Here are some related questions to expand on this topic:

1. How do you multiply two complex numbers like \( (2 + 3i)(4 - 5i) \)?
2. Can you explain how the distributive property applies to complex numbers?
3. What is the geometric interpretation of adding two complex numbers?
4. How can you find the conjugate of a complex number, and why is it useful?
5. How do you calculate the modulus (magnitude) of a complex number like \( 3 + 4i \)?

**Tip:** When subtracting complex numbers, remember to distribute the negative sign across both the real and imaginary parts!

Solve the following complex number problems:
1. (2 + 3i) + (4 - 5i)
2. A number with a real part = 10 and an imaginary part = 3i
3. 3(4 - 5i)
4. (2i - 4) - (3 - 7i)

Learn how to solve complex number problems, including addition, multiplication, and subtraction. This problem set includes solutions for (2 + 3i) + (4 - 5i), finding a complex number with real part 10 and imaginary part 3i, multiplying 3 by (4 - 5i), and subtracting complex numbers. Ideal for students in Grades 9-11.

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