Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((1-6i)-(7+9i)= 1-6i -7-9i =\color{red}{1-7}\color{blue}{-6i -9i}=\color{red}{-6}\color{blue}{-15i}\)
2. \((10+i)+(-5+8i)= 10+i -5+8i =\color{red}{10-5}\color{blue}{+i +8i}=\color{red}{5}\color{blue}{+9i}\)
3. \((4-5i)+(-9+10i)= 4-5i -9+10i =\color{red}{4-9}\color{blue}{-5i +10i}=\color{red}{-5}\color{blue}{+5i}\)
4. \((-9-8i)-(10-7i)= -9-8i -10+7i =\color{red}{-9-10}\color{blue}{-8i +7i}=\color{red}{-19}\color{blue}{-i}\)
5. \((1+9i)+(-1+7i)= 1+9i -1+7i =\color{red}{1-1}\color{blue}{+9i +7i}=\color{blue}{16i}\)
6. \((-5-9i)+(-3+i)= -5-9i -3+i =\color{red}{-5-3}\color{blue}{-9i +i}=\color{red}{-8}\color{blue}{-8i}\)
7. \((-1-2i)-(-9-8i)= -1-2i +9+8i =\color{red}{-1+9}\color{blue}{-2i +8i}=\color{red}{8}\color{blue}{+6i}\)
8. \((-1+8i)+(3-8i)= -1+8i +3-8i =\color{red}{-1+3}\color{blue}{+8i -8i}=\color{red}{2}\)
9. \((-7-5i)-(-3+3i)= -7-5i +3-3i =\color{red}{-7+3}\color{blue}{-5i -3i}=\color{red}{-4}\color{blue}{-8i}\)
10. \((10-6i)+(-6-10i)= 10-6i -6-10i =\color{red}{10-6}\color{blue}{-6i -10i}=\color{red}{4}\color{blue}{-16i}\)
11. \((8+9i)+(5+6i)= 8+9i +5+6i =\color{red}{8+5}\color{blue}{+9i +6i}=\color{red}{13}\color{blue}{+15i}\)
12. \((6+10i)+(10-5i)= 6+10i +10-5i =\color{red}{6+10}\color{blue}{+10i -5i}=\color{red}{16}\color{blue}{+5i}\)