Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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