Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((10-2i)+(-9+10i)= 10-2i -9+10i =\color{red}{10-9}\color{blue}{-2i +10i}=\color{red}{1}\color{blue}{+8i}\)
2. \((4+9i)-(8+4i)= 4+9i -8-4i =\color{red}{4-8}\color{blue}{+9i -4i}=\color{red}{-4}\color{blue}{+5i}\)
3. \((-4-8i)-(9+i)= -4-8i -9-i =\color{red}{-4-9}\color{blue}{-8i -i}=\color{red}{-13}\color{blue}{-9i}\)
4. \((-5+i)+(-10-8i)= -5+i -10-8i =\color{red}{-5-10}\color{blue}{+i -8i}=\color{red}{-15}\color{blue}{-7i}\)
5. \((8+5i)+(4-10i)= 8+5i +4-10i =\color{red}{8+4}\color{blue}{+5i -10i}=\color{red}{12}\color{blue}{-5i}\)
6. \((2-4i)+(-7-4i)= 2-4i -7-4i =\color{red}{2-7}\color{blue}{-4i -4i}=\color{red}{-5}\color{blue}{-8i}\)
7. \((8-8i)+(-1+8i)= 8-8i -1+8i =\color{red}{8-1}\color{blue}{-8i +8i}=\color{red}{7}\)
8. \((-7+i)+(-3+i)= -7+i -3+i =\color{red}{-7-3}\color{blue}{+i +i}=\color{red}{-10}\color{blue}{+2i}\)
9. \((3-8i)-(-4+8i)= 3-8i +4-8i =\color{red}{3+4}\color{blue}{-8i -8i}=\color{red}{7}\color{blue}{-16i}\)
10. \((-3-5i)-(-3+6i)= -3-5i +3-6i =\color{red}{-3+3}\color{blue}{-5i -6i}=\color{blue}{-11i}\)
11. \((-7-8i)+(4-9i)= -7-8i +4-9i =\color{red}{-7+4}\color{blue}{-8i -9i}=\color{red}{-3}\color{blue}{-17i}\)
12. \((-1-i)-(-3-4i)= -1-i +3+4i =\color{red}{-1+3}\color{blue}{-i +4i}=\color{red}{2}\color{blue}{+3i}\)