Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-3+6i)+(-4+9i)= -3+6i -4+9i =\color{red}{-3-4}\color{blue}{+6i +9i}=\color{red}{-7}\color{blue}{+15i}\)
2. \((4-6i)-(-3-8i)= 4-6i +3+8i =\color{red}{4+3}\color{blue}{-6i +8i}=\color{red}{7}\color{blue}{+2i}\)
3. \((-6-8i)-(-6+8i)= -6-8i +6-8i =\color{red}{-6+6}\color{blue}{-8i -8i}=\color{blue}{-16i}\)
4. \((-3+6i)-(-10-9i)= -3+6i +10+9i =\color{red}{-3+10}\color{blue}{+6i +9i}=\color{red}{7}\color{blue}{+15i}\)
5. \((-1+3i)-(3-i)= -1+3i -3+i =\color{red}{-1-3}\color{blue}{+3i +i}=\color{red}{-4}\color{blue}{+4i}\)
6. \((8+7i)+(8-2i)= 8+7i +8-2i =\color{red}{8+8}\color{blue}{+7i -2i}=\color{red}{16}\color{blue}{+5i}\)
7. \((10-4i)-(-4+6i)= 10-4i +4-6i =\color{red}{10+4}\color{blue}{-4i -6i}=\color{red}{14}\color{blue}{-10i}\)
8. \((-7-4i)-(4-8i)= -7-4i -4+8i =\color{red}{-7-4}\color{blue}{-4i +8i}=\color{red}{-11}\color{blue}{+4i}\)
9. \((-3-4i)-(-7+7i)= -3-4i +7-7i =\color{red}{-3+7}\color{blue}{-4i -7i}=\color{red}{4}\color{blue}{-11i}\)
10. \((9+9i)-(9-4i)= 9+9i -9+4i =\color{red}{9-9}\color{blue}{+9i +4i}=\color{blue}{13i}\)
11. \((2-3i)+(-1+8i)= 2-3i -1+8i =\color{red}{2-1}\color{blue}{-3i +8i}=\color{red}{1}\color{blue}{+5i}\)
12. \((7+5i)-(-7-2i)= 7+5i +7+2i =\color{red}{7+7}\color{blue}{+5i +2i}=\color{red}{14}\color{blue}{+7i}\)