Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-5+10i)-(-10-10i)= -5+10i +10+10i =\color{red}{-5+10}\color{blue}{+10i +10i}=\color{red}{5}\color{blue}{+20i}\)
2. \((-9+10i)-(10-7i)= -9+10i -10+7i =\color{red}{-9-10}\color{blue}{+10i +7i}=\color{red}{-19}\color{blue}{+17i}\)
3. \((3+9i)-(4+i)= 3+9i -4-i =\color{red}{3-4}\color{blue}{+9i -i}=\color{red}{-1}\color{blue}{+8i}\)
4. \((-2-3i)+(10+3i)= -2-3i +10+3i =\color{red}{-2+10}\color{blue}{-3i +3i}=\color{red}{8}\)
5. \((-7-i)+(7+9i)= -7-i +7+9i =\color{red}{-7+7}\color{blue}{-i +9i}=\color{blue}{8i}\)
6. \((8+i)+(-6-2i)= 8+i -6-2i =\color{red}{8-6}\color{blue}{+i -2i}=\color{red}{2}\color{blue}{-i}\)
7. \((-5-8i)-(-7+10i)= -5-8i +7-10i =\color{red}{-5+7}\color{blue}{-8i -10i}=\color{red}{2}\color{blue}{-18i}\)
8. \((-4+i)-(-3-9i)= -4+i +3+9i =\color{red}{-4+3}\color{blue}{+i +9i}=\color{red}{-1}\color{blue}{+10i}\)
9. \((5+3i)+(-3+7i)= 5+3i -3+7i =\color{red}{5-3}\color{blue}{+3i +7i}=\color{red}{2}\color{blue}{+10i}\)
10. \((2+6i)-(-8-i)= 2+6i +8+i =\color{red}{2+8}\color{blue}{+6i +i}=\color{red}{10}\color{blue}{+7i}\)
11. \((-10+7i)+(10+2i)= -10+7i +10+2i =\color{red}{-10+10}\color{blue}{+7i +2i}=\color{blue}{9i}\)
12. \((-7-4i)-(-1+8i)= -7-4i +1-8i =\color{red}{-7+1}\color{blue}{-4i -8i}=\color{red}{-6}\color{blue}{-12i}\)