Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-7-8i)-(1+8i)= -7-8i -1-8i =\color{red}{-7-1}\color{blue}{-8i -8i}=\color{red}{-8}\color{blue}{-16i}\)
2. \((7+4i)-(-5-8i)= 7+4i +5+8i =\color{red}{7+5}\color{blue}{+4i +8i}=\color{red}{12}\color{blue}{+12i}\)
3. \((-9+6i)-(-8+2i)= -9+6i +8-2i =\color{red}{-9+8}\color{blue}{+6i -2i}=\color{red}{-1}\color{blue}{+4i}\)
4. \((-7-2i)-(-9+2i)= -7-2i +9-2i =\color{red}{-7+9}\color{blue}{-2i -2i}=\color{red}{2}\color{blue}{-4i}\)
5. \((-8+i)-(-4+8i)= -8+i +4-8i =\color{red}{-8+4}\color{blue}{+i -8i}=\color{red}{-4}\color{blue}{-7i}\)
6. \((7-4i)+(-1-i)= 7-4i -1-i =\color{red}{7-1}\color{blue}{-4i -i}=\color{red}{6}\color{blue}{-5i}\)
7. \((5+8i)-(9-5i)= 5+8i -9+5i =\color{red}{5-9}\color{blue}{+8i +5i}=\color{red}{-4}\color{blue}{+13i}\)
8. \((-10+5i)-(-9-9i)= -10+5i +9+9i =\color{red}{-10+9}\color{blue}{+5i +9i}=\color{red}{-1}\color{blue}{+14i}\)
9. \((-4+4i)+(-9+5i)= -4+4i -9+5i =\color{red}{-4-9}\color{blue}{+4i +5i}=\color{red}{-13}\color{blue}{+9i}\)
10. \((8-i)+(-7-8i)= 8-i -7-8i =\color{red}{8-7}\color{blue}{-i -8i}=\color{red}{1}\color{blue}{-9i}\)
11. \((3-6i)-(2+7i)= 3-6i -2-7i =\color{red}{3-2}\color{blue}{-6i -7i}=\color{red}{1}\color{blue}{-13i}\)
12. \((9+6i)-(-6-7i)= 9+6i +6+7i =\color{red}{9+6}\color{blue}{+6i +7i}=\color{red}{15}\color{blue}{+13i}\)