Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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