Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5-10i)-(2+8i)= 5-10i -2-8i =\color{red}{5-2}\color{blue}{-10i -8i}=\color{red}{3}\color{blue}{-18i}\)
2. \((-2+2i)+(-4-10i)= -2+2i -4-10i =\color{red}{-2-4}\color{blue}{+2i -10i}=\color{red}{-6}\color{blue}{-8i}\)
3. \((10+6i)+(-8+2i)= 10+6i -8+2i =\color{red}{10-8}\color{blue}{+6i +2i}=\color{red}{2}\color{blue}{+8i}\)
4. \((3-4i)+(-9+9i)= 3-4i -9+9i =\color{red}{3-9}\color{blue}{-4i +9i}=\color{red}{-6}\color{blue}{+5i}\)
5. \((5-10i)+(7-4i)= 5-10i +7-4i =\color{red}{5+7}\color{blue}{-10i -4i}=\color{red}{12}\color{blue}{-14i}\)
6. \((-1+4i)+(-2-i)= -1+4i -2-i =\color{red}{-1-2}\color{blue}{+4i -i}=\color{red}{-3}\color{blue}{+3i}\)
7. \((10-6i)-(-3+7i)= 10-6i +3-7i =\color{red}{10+3}\color{blue}{-6i -7i}=\color{red}{13}\color{blue}{-13i}\)
8. \((6-4i)-(1-4i)= 6-4i -1+4i =\color{red}{6-1}\color{blue}{-4i +4i}=\color{red}{5}\)
9. \((-3+8i)+(-5+6i)= -3+8i -5+6i =\color{red}{-3-5}\color{blue}{+8i +6i}=\color{red}{-8}\color{blue}{+14i}\)
10. \((7-i)-(8+7i)= 7-i -8-7i =\color{red}{7-8}\color{blue}{-i -7i}=\color{red}{-1}\color{blue}{-8i}\)
11. \((8-10i)+(6+4i)= 8-10i +6+4i =\color{red}{8+6}\color{blue}{-10i +4i}=\color{red}{14}\color{blue}{-6i}\)
12. \((10-5i)+(-10-7i)= 10-5i -10-7i =\color{red}{10-10}\color{blue}{-5i -7i}=\color{blue}{-12i}\)