Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-1-9i)+(3-2i)= -1-9i +3-2i =\color{red}{-1+3}\color{blue}{-9i -2i}=\color{red}{2}\color{blue}{-11i}\)
2. \((-9+3i)+(6+7i)= -9+3i +6+7i =\color{red}{-9+6}\color{blue}{+3i +7i}=\color{red}{-3}\color{blue}{+10i}\)
3. \((6-10i)+(-8-4i)= 6-10i -8-4i =\color{red}{6-8}\color{blue}{-10i -4i}=\color{red}{-2}\color{blue}{-14i}\)
4. \((10+4i)-(2+3i)= 10+4i -2-3i =\color{red}{10-2}\color{blue}{+4i -3i}=\color{red}{8}\color{blue}{+i}\)
5. \((3-8i)-(1-2i)= 3-8i -1+2i =\color{red}{3-1}\color{blue}{-8i +2i}=\color{red}{2}\color{blue}{-6i}\)
6. \((-10+8i)-(-10+10i)= -10+8i +10-10i =\color{red}{-10+10}\color{blue}{+8i -10i}=\color{blue}{-2i}\)
7. \((3-2i)-(1+4i)= 3-2i -1-4i =\color{red}{3-1}\color{blue}{-2i -4i}=\color{red}{2}\color{blue}{-6i}\)
8. \((2+2i)-(-10-8i)= 2+2i +10+8i =\color{red}{2+10}\color{blue}{+2i +8i}=\color{red}{12}\color{blue}{+10i}\)
9. \((7+i)-(-10-10i)= 7+i +10+10i =\color{red}{7+10}\color{blue}{+i +10i}=\color{red}{17}\color{blue}{+11i}\)
10. \((5-4i)-(8-7i)= 5-4i -8+7i =\color{red}{5-8}\color{blue}{-4i +7i}=\color{red}{-3}\color{blue}{+3i}\)
11. \((-6+3i)-(9+10i)= -6+3i -9-10i =\color{red}{-6-9}\color{blue}{+3i -10i}=\color{red}{-15}\color{blue}{-7i}\)
12. \((3-2i)+(-10-10i)= 3-2i -10-10i =\color{red}{3-10}\color{blue}{-2i -10i}=\color{red}{-7}\color{blue}{-12i}\)