Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((7-10i)-(-8-3i)= 7-10i +8+3i =\color{red}{7+8}\color{blue}{-10i +3i}=\color{red}{15}\color{blue}{-7i}\)
2. \((6-2i)+(2+9i)= 6-2i +2+9i =\color{red}{6+2}\color{blue}{-2i +9i}=\color{red}{8}\color{blue}{+7i}\)
3. \((6-2i)-(9-6i)= 6-2i -9+6i =\color{red}{6-9}\color{blue}{-2i +6i}=\color{red}{-3}\color{blue}{+4i}\)
4. \((-2-10i)-(8+6i)= -2-10i -8-6i =\color{red}{-2-8}\color{blue}{-10i -6i}=\color{red}{-10}\color{blue}{-16i}\)
5. \((-8-10i)-(8-6i)= -8-10i -8+6i =\color{red}{-8-8}\color{blue}{-10i +6i}=\color{red}{-16}\color{blue}{-4i}\)
6. \((10-5i)-(5+7i)= 10-5i -5-7i =\color{red}{10-5}\color{blue}{-5i -7i}=\color{red}{5}\color{blue}{-12i}\)
7. \((1+2i)-(4+9i)= 1+2i -4-9i =\color{red}{1-4}\color{blue}{+2i -9i}=\color{red}{-3}\color{blue}{-7i}\)
8. \((-9-i)+(-10+5i)= -9-i -10+5i =\color{red}{-9-10}\color{blue}{-i +5i}=\color{red}{-19}\color{blue}{+4i}\)
9. \((5-4i)+(-3+i)= 5-4i -3+i =\color{red}{5-3}\color{blue}{-4i +i}=\color{red}{2}\color{blue}{-3i}\)
10. \((8-9i)-(-1+4i)= 8-9i +1-4i =\color{red}{8+1}\color{blue}{-9i -4i}=\color{red}{9}\color{blue}{-13i}\)
11. \((6-5i)+(3+6i)= 6-5i +3+6i =\color{red}{6+3}\color{blue}{-5i +6i}=\color{red}{9}\color{blue}{+i}\)
12. \((-10-5i)+(10+2i)= -10-5i +10+2i =\color{red}{-10+10}\color{blue}{-5i +2i}=\color{blue}{-3i}\)