Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((9+9i)-(4-8i)= 9+9i -4+8i =\color{red}{9-4}\color{blue}{+9i +8i}=\color{red}{5}\color{blue}{+17i}\)
2. \((-6+i)+(10+4i)= -6+i +10+4i =\color{red}{-6+10}\color{blue}{+i +4i}=\color{red}{4}\color{blue}{+5i}\)
3. \((9+7i)-(-10+6i)= 9+7i +10-6i =\color{red}{9+10}\color{blue}{+7i -6i}=\color{red}{19}\color{blue}{+i}\)
4. \((-9-i)+(-2-8i)= -9-i -2-8i =\color{red}{-9-2}\color{blue}{-i -8i}=\color{red}{-11}\color{blue}{-9i}\)
5. \((10+8i)+(9+4i)= 10+8i +9+4i =\color{red}{10+9}\color{blue}{+8i +4i}=\color{red}{19}\color{blue}{+12i}\)
6. \((6+4i)+(5-7i)= 6+4i +5-7i =\color{red}{6+5}\color{blue}{+4i -7i}=\color{red}{11}\color{blue}{-3i}\)
7. \((3-7i)+(-7+4i)= 3-7i -7+4i =\color{red}{3-7}\color{blue}{-7i +4i}=\color{red}{-4}\color{blue}{-3i}\)
8. \((8+8i)-(5+i)= 8+8i -5-i =\color{red}{8-5}\color{blue}{+8i -i}=\color{red}{3}\color{blue}{+7i}\)
9. \((2-3i)+(8-7i)= 2-3i +8-7i =\color{red}{2+8}\color{blue}{-3i -7i}=\color{red}{10}\color{blue}{-10i}\)
10. \((6+3i)+(2-10i)= 6+3i +2-10i =\color{red}{6+2}\color{blue}{+3i -10i}=\color{red}{8}\color{blue}{-7i}\)
11. \((-6-10i)+(-5-2i)= -6-10i -5-2i =\color{red}{-6-5}\color{blue}{-10i -2i}=\color{red}{-11}\color{blue}{-12i}\)
12. \((8+i)+(9-4i)= 8+i +9-4i =\color{red}{8+9}\color{blue}{+i -4i}=\color{red}{17}\color{blue}{-3i}\)