Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((4-8i)-(-8+9i)= 4-8i +8-9i =\color{red}{4+8}\color{blue}{-8i -9i}=\color{red}{12}\color{blue}{-17i}\)
2. \((5+4i)-(-10+4i)= 5+4i +10-4i =\color{red}{5+10}\color{blue}{+4i -4i}=\color{red}{15}\)
3. \((7+6i)-(4+i)= 7+6i -4-i =\color{red}{7-4}\color{blue}{+6i -i}=\color{red}{3}\color{blue}{+5i}\)
4. \((-1-10i)+(-10-2i)= -1-10i -10-2i =\color{red}{-1-10}\color{blue}{-10i -2i}=\color{red}{-11}\color{blue}{-12i}\)
5. \((-7-9i)+(-1-9i)= -7-9i -1-9i =\color{red}{-7-1}\color{blue}{-9i -9i}=\color{red}{-8}\color{blue}{-18i}\)
6. \((8-7i)+(4-3i)= 8-7i +4-3i =\color{red}{8+4}\color{blue}{-7i -3i}=\color{red}{12}\color{blue}{-10i}\)
7. \((4-5i)-(-4-6i)= 4-5i +4+6i =\color{red}{4+4}\color{blue}{-5i +6i}=\color{red}{8}\color{blue}{+i}\)
8. \((10+10i)-(-1-3i)= 10+10i +1+3i =\color{red}{10+1}\color{blue}{+10i +3i}=\color{red}{11}\color{blue}{+13i}\)
9. \((4-9i)+(-3+7i)= 4-9i -3+7i =\color{red}{4-3}\color{blue}{-9i +7i}=\color{red}{1}\color{blue}{-2i}\)
10. \((-8+5i)+(-7+5i)= -8+5i -7+5i =\color{red}{-8-7}\color{blue}{+5i +5i}=\color{red}{-15}\color{blue}{+10i}\)
11. \((5+9i)-(4-9i)= 5+9i -4+9i =\color{red}{5-4}\color{blue}{+9i +9i}=\color{red}{1}\color{blue}{+18i}\)
12. \((-7+7i)-(-9+4i)= -7+7i +9-4i =\color{red}{-7+9}\color{blue}{+7i -4i}=\color{red}{2}\color{blue}{+3i}\)