Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5-4i)-(8+2i)= 5-4i -8-2i =\color{red}{5-8}\color{blue}{-4i -2i}=\color{red}{-3}\color{blue}{-6i}\)
2. \((10-5i)+(-2-9i)= 10-5i -2-9i =\color{red}{10-2}\color{blue}{-5i -9i}=\color{red}{8}\color{blue}{-14i}\)
3. \((-2-2i)+(-3+3i)= -2-2i -3+3i =\color{red}{-2-3}\color{blue}{-2i +3i}=\color{red}{-5}\color{blue}{+i}\)
4. \((-1+8i)+(7-i)= -1+8i +7-i =\color{red}{-1+7}\color{blue}{+8i -i}=\color{red}{6}\color{blue}{+7i}\)
5. \((5+7i)+(2+9i)= 5+7i +2+9i =\color{red}{5+2}\color{blue}{+7i +9i}=\color{red}{7}\color{blue}{+16i}\)
6. \((7-3i)+(-9+9i)= 7-3i -9+9i =\color{red}{7-9}\color{blue}{-3i +9i}=\color{red}{-2}\color{blue}{+6i}\)
7. \((-5-i)-(2+3i)= -5-i -2-3i =\color{red}{-5-2}\color{blue}{-i -3i}=\color{red}{-7}\color{blue}{-4i}\)
8. \((2+6i)-(10-8i)= 2+6i -10+8i =\color{red}{2-10}\color{blue}{+6i +8i}=\color{red}{-8}\color{blue}{+14i}\)
9. \((9-5i)+(-5-3i)= 9-5i -5-3i =\color{red}{9-5}\color{blue}{-5i -3i}=\color{red}{4}\color{blue}{-8i}\)
10. \((-3+4i)-(-7-i)= -3+4i +7+i =\color{red}{-3+7}\color{blue}{+4i +i}=\color{red}{4}\color{blue}{+5i}\)
11. \((-5+7i)-(5+2i)= -5+7i -5-2i =\color{red}{-5-5}\color{blue}{+7i -2i}=\color{red}{-10}\color{blue}{+5i}\)
12. \((-8+10i)-(1-10i)= -8+10i -1+10i =\color{red}{-8-1}\color{blue}{+10i +10i}=\color{red}{-9}\color{blue}{+20i}\)