Optellen en aftrekken (a+bi)

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Bereken

1. \((-8-5i)+(5+3i)\)
2. \((-5+3i)-(4-10i)\)
3. \((-6+4i)+(-6-6i)\)
4. \((9+5i)+(-8-9i)\)
5. \((9+10i)+(9-i)\)
6. \((5+8i)+(3+3i)\)
7. \((-5-7i)+(-8-9i)\)
8. \((-8-2i)-(-4+5i)\)
9. \((-10+3i)+(-9+6i)\)
10. \((-9-3i)-(-4+2i)\)
11. \((-10-5i)+(-7+8i)\)
12. \((-4-i)+(8-10i)\)

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Bereken

Verbetersleutel

1. \((-8-5i)+(5+3i)= -8-5i +5+3i =\color{red}{-8+5}\color{blue}{-5i +3i}=\color{red}{-3}\color{blue}{-2i}\)
2. \((-5+3i)-(4-10i)= -5+3i -4+10i =\color{red}{-5-4}\color{blue}{+3i +10i}=\color{red}{-9}\color{blue}{+13i}\)
3. \((-6+4i)+(-6-6i)= -6+4i -6-6i =\color{red}{-6-6}\color{blue}{+4i -6i}=\color{red}{-12}\color{blue}{-2i}\)
4. \((9+5i)+(-8-9i)= 9+5i -8-9i =\color{red}{9-8}\color{blue}{+5i -9i}=\color{red}{1}\color{blue}{-4i}\)
5. \((9+10i)+(9-i)= 9+10i +9-i =\color{red}{9+9}\color{blue}{+10i -i}=\color{red}{18}\color{blue}{+9i}\)
6. \((5+8i)+(3+3i)= 5+8i +3+3i =\color{red}{5+3}\color{blue}{+8i +3i}=\color{red}{8}\color{blue}{+11i}\)
7. \((-5-7i)+(-8-9i)= -5-7i -8-9i =\color{red}{-5-8}\color{blue}{-7i -9i}=\color{red}{-13}\color{blue}{-16i}\)
8. \((-8-2i)-(-4+5i)= -8-2i +4-5i =\color{red}{-8+4}\color{blue}{-2i -5i}=\color{red}{-4}\color{blue}{-7i}\)
9. \((-10+3i)+(-9+6i)= -10+3i -9+6i =\color{red}{-10-9}\color{blue}{+3i +6i}=\color{red}{-19}\color{blue}{+9i}\)
10. \((-9-3i)-(-4+2i)= -9-3i +4-2i =\color{red}{-9+4}\color{blue}{-3i -2i}=\color{red}{-5}\color{blue}{-5i}\)
11. \((-10-5i)+(-7+8i)= -10-5i -7+8i =\color{red}{-10-7}\color{blue}{-5i +8i}=\color{red}{-17}\color{blue}{+3i}\)
12. \((-4-i)+(8-10i)= -4-i +8-10i =\color{red}{-4+8}\color{blue}{-i -10i}=\color{red}{4}\color{blue}{-11i}\)