Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5+7i)-(6+6i)= 5+7i -6-6i =\color{red}{5-6}\color{blue}{+7i -6i}=\color{red}{-1}\color{blue}{+i}\)
2. \((-4-5i)-(2-6i)= -4-5i -2+6i =\color{red}{-4-2}\color{blue}{-5i +6i}=\color{red}{-6}\color{blue}{+i}\)
3. \((-3-3i)+(-4+8i)= -3-3i -4+8i =\color{red}{-3-4}\color{blue}{-3i +8i}=\color{red}{-7}\color{blue}{+5i}\)
4. \((2+9i)-(10-9i)= 2+9i -10+9i =\color{red}{2-10}\color{blue}{+9i +9i}=\color{red}{-8}\color{blue}{+18i}\)
5. \((3+6i)+(4+6i)= 3+6i +4+6i =\color{red}{3+4}\color{blue}{+6i +6i}=\color{red}{7}\color{blue}{+12i}\)
6. \((-3-9i)-(5-7i)= -3-9i -5+7i =\color{red}{-3-5}\color{blue}{-9i +7i}=\color{red}{-8}\color{blue}{-2i}\)
7. \((10-4i)+(10-4i)= 10-4i +10-4i =\color{red}{10+10}\color{blue}{-4i -4i}=\color{red}{20}\color{blue}{-8i}\)
8. \((4-7i)+(-9-10i)= 4-7i -9-10i =\color{red}{4-9}\color{blue}{-7i -10i}=\color{red}{-5}\color{blue}{-17i}\)
9. \((5-6i)-(4+2i)= 5-6i -4-2i =\color{red}{5-4}\color{blue}{-6i -2i}=\color{red}{1}\color{blue}{-8i}\)
10. \((-4+9i)+(9+i)= -4+9i +9+i =\color{red}{-4+9}\color{blue}{+9i +i}=\color{red}{5}\color{blue}{+10i}\)
11. \((-1+9i)+(-1-9i)= -1+9i -1-9i =\color{red}{-1-1}\color{blue}{+9i -9i}=\color{red}{-2}\)
12. \((-5-9i)+(-10-4i)= -5-9i -10-4i =\color{red}{-5-10}\color{blue}{-9i -4i}=\color{red}{-15}\color{blue}{-13i}\)