Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((1-10i)+(-9-3i)= 1-10i -9-3i =\color{red}{1-9}\color{blue}{-10i -3i}=\color{red}{-8}\color{blue}{-13i}\)
2. \((-4-2i)-(5-9i)= -4-2i -5+9i =\color{red}{-4-5}\color{blue}{-2i +9i}=\color{red}{-9}\color{blue}{+7i}\)
3. \((2-9i)+(-10+10i)= 2-9i -10+10i =\color{red}{2-10}\color{blue}{-9i +10i}=\color{red}{-8}\color{blue}{+i}\)
4. \((-4-8i)-(4+10i)= -4-8i -4-10i =\color{red}{-4-4}\color{blue}{-8i -10i}=\color{red}{-8}\color{blue}{-18i}\)
5. \((-5-7i)-(10-4i)= -5-7i -10+4i =\color{red}{-5-10}\color{blue}{-7i +4i}=\color{red}{-15}\color{blue}{-3i}\)
6. \((4+10i)-(-3+10i)= 4+10i +3-10i =\color{red}{4+3}\color{blue}{+10i -10i}=\color{red}{7}\)
7. \((-2-i)-(4+i)= -2-i -4-i =\color{red}{-2-4}\color{blue}{-i -i}=\color{red}{-6}\color{blue}{-2i}\)
8. \((9+5i)+(6-7i)= 9+5i +6-7i =\color{red}{9+6}\color{blue}{+5i -7i}=\color{red}{15}\color{blue}{-2i}\)
9. \((8-7i)+(10+2i)= 8-7i +10+2i =\color{red}{8+10}\color{blue}{-7i +2i}=\color{red}{18}\color{blue}{-5i}\)
10. \((3+9i)+(7-2i)= 3+9i +7-2i =\color{red}{3+7}\color{blue}{+9i -2i}=\color{red}{10}\color{blue}{+7i}\)
11. \((-10+10i)-(-4+7i)= -10+10i +4-7i =\color{red}{-10+4}\color{blue}{+10i -7i}=\color{red}{-6}\color{blue}{+3i}\)
12. \((-8-7i)+(8+7i)= -8-7i +8+7i =\color{red}{-8+8}\color{blue}{-7i +7i}=\color{red}{0}\)