Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((10-3i)-(-1+i)= 10-3i +1-i =\color{red}{10+1}\color{blue}{-3i -i}=\color{red}{11}\color{blue}{-4i}\)
2. \((7+5i)-(-4+10i)= 7+5i +4-10i =\color{red}{7+4}\color{blue}{+5i -10i}=\color{red}{11}\color{blue}{-5i}\)
3. \((6-10i)+(-2+i)= 6-10i -2+i =\color{red}{6-2}\color{blue}{-10i +i}=\color{red}{4}\color{blue}{-9i}\)
4. \((-1-3i)+(-10-4i)= -1-3i -10-4i =\color{red}{-1-10}\color{blue}{-3i -4i}=\color{red}{-11}\color{blue}{-7i}\)
5. \((4+7i)-(2-i)= 4+7i -2+i =\color{red}{4-2}\color{blue}{+7i +i}=\color{red}{2}\color{blue}{+8i}\)
6. \((8-8i)+(-3+8i)= 8-8i -3+8i =\color{red}{8-3}\color{blue}{-8i +8i}=\color{red}{5}\)
7. \((-10-8i)+(-1-10i)= -10-8i -1-10i =\color{red}{-10-1}\color{blue}{-8i -10i}=\color{red}{-11}\color{blue}{-18i}\)
8. \((-9-6i)+(6-10i)= -9-6i +6-10i =\color{red}{-9+6}\color{blue}{-6i -10i}=\color{red}{-3}\color{blue}{-16i}\)
9. \((-7-i)+(7+6i)= -7-i +7+6i =\color{red}{-7+7}\color{blue}{-i +6i}=\color{blue}{5i}\)
10. \((-4-6i)-(3-5i)= -4-6i -3+5i =\color{red}{-4-3}\color{blue}{-6i +5i}=\color{red}{-7}\color{blue}{-i}\)
11. \((-2+5i)-(-9+4i)= -2+5i +9-4i =\color{red}{-2+9}\color{blue}{+5i -4i}=\color{red}{7}\color{blue}{+i}\)
12. \((-4-10i)-(5+10i)= -4-10i -5-10i =\color{red}{-4-5}\color{blue}{-10i -10i}=\color{red}{-9}\color{blue}{-20i}\)