Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((9+9i)-(-8-2i)= 9+9i +8+2i =\color{red}{9+8}\color{blue}{+9i +2i}=\color{red}{17}\color{blue}{+11i}\)
2. \((-5+5i)+(-9-3i)= -5+5i -9-3i =\color{red}{-5-9}\color{blue}{+5i -3i}=\color{red}{-14}\color{blue}{+2i}\)
3. \((-3+6i)-(-8+8i)= -3+6i +8-8i =\color{red}{-3+8}\color{blue}{+6i -8i}=\color{red}{5}\color{blue}{-2i}\)
4. \((1-5i)+(8-8i)= 1-5i +8-8i =\color{red}{1+8}\color{blue}{-5i -8i}=\color{red}{9}\color{blue}{-13i}\)
5. \((-8-10i)-(-9-8i)= -8-10i +9+8i =\color{red}{-8+9}\color{blue}{-10i +8i}=\color{red}{1}\color{blue}{-2i}\)
6. \((4-4i)-(4+9i)= 4-4i -4-9i =\color{red}{4-4}\color{blue}{-4i -9i}=\color{blue}{-13i}\)
7. \((8+7i)+(-8+7i)= 8+7i -8+7i =\color{red}{8-8}\color{blue}{+7i +7i}=\color{blue}{14i}\)
8. \((7+i)-(-4+2i)= 7+i +4-2i =\color{red}{7+4}\color{blue}{+i -2i}=\color{red}{11}\color{blue}{-i}\)
9. \((-9+5i)+(-8-2i)= -9+5i -8-2i =\color{red}{-9-8}\color{blue}{+5i -2i}=\color{red}{-17}\color{blue}{+3i}\)
10. \((-7-2i)+(4-2i)= -7-2i +4-2i =\color{red}{-7+4}\color{blue}{-2i -2i}=\color{red}{-3}\color{blue}{-4i}\)
11. \((5+6i)+(-4+6i)= 5+6i -4+6i =\color{red}{5-4}\color{blue}{+6i +6i}=\color{red}{1}\color{blue}{+12i}\)
12. \((-10-10i)+(-10+5i)= -10-10i -10+5i =\color{red}{-10-10}\color{blue}{-10i +5i}=\color{red}{-20}\color{blue}{-5i}\)