Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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