Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-3+7i)+(-5-7i)= -3+7i -5-7i =\color{red}{-3-5}\color{blue}{+7i -7i}=\color{red}{-8}\)
2. \((6-4i)-(-5+10i)= 6-4i +5-10i =\color{red}{6+5}\color{blue}{-4i -10i}=\color{red}{11}\color{blue}{-14i}\)
3. \((-4+8i)+(-4-9i)= -4+8i -4-9i =\color{red}{-4-4}\color{blue}{+8i -9i}=\color{red}{-8}\color{blue}{-i}\)
4. \((-7-9i)-(-5+6i)= -7-9i +5-6i =\color{red}{-7+5}\color{blue}{-9i -6i}=\color{red}{-2}\color{blue}{-15i}\)
5. \((-10+2i)-(1-10i)= -10+2i -1+10i =\color{red}{-10-1}\color{blue}{+2i +10i}=\color{red}{-11}\color{blue}{+12i}\)
6. \((4+i)-(8-i)= 4+i -8+i =\color{red}{4-8}\color{blue}{+i +i}=\color{red}{-4}\color{blue}{+2i}\)
7. \((10-i)-(-3-4i)= 10-i +3+4i =\color{red}{10+3}\color{blue}{-i +4i}=\color{red}{13}\color{blue}{+3i}\)
8. \((10+9i)+(9+3i)= 10+9i +9+3i =\color{red}{10+9}\color{blue}{+9i +3i}=\color{red}{19}\color{blue}{+12i}\)
9. \((-6-4i)+(10+9i)= -6-4i +10+9i =\color{red}{-6+10}\color{blue}{-4i +9i}=\color{red}{4}\color{blue}{+5i}\)
10. \((-10+i)-(-9+5i)= -10+i +9-5i =\color{red}{-10+9}\color{blue}{+i -5i}=\color{red}{-1}\color{blue}{-4i}\)
11. \((-6-i)+(5+8i)= -6-i +5+8i =\color{red}{-6+5}\color{blue}{-i +8i}=\color{red}{-1}\color{blue}{+7i}\)
12. \((-1+4i)-(1-8i)= -1+4i -1+8i =\color{red}{-1-1}\color{blue}{+4i +8i}=\color{red}{-2}\color{blue}{+12i}\)