Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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