Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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