Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-9+2i)-(5+3i)= -9+2i -5-3i =\color{red}{-9-5}\color{blue}{+2i -3i}=\color{red}{-14}\color{blue}{-i}\)
2. \((-10+2i)+(1+2i)= -10+2i +1+2i =\color{red}{-10+1}\color{blue}{+2i +2i}=\color{red}{-9}\color{blue}{+4i}\)
3. \((10+2i)-(-1+9i)= 10+2i +1-9i =\color{red}{10+1}\color{blue}{+2i -9i}=\color{red}{11}\color{blue}{-7i}\)
4. \((-9+8i)-(-10+10i)= -9+8i +10-10i =\color{red}{-9+10}\color{blue}{+8i -10i}=\color{red}{1}\color{blue}{-2i}\)
5. \((1+2i)+(7+7i)= 1+2i +7+7i =\color{red}{1+7}\color{blue}{+2i +7i}=\color{red}{8}\color{blue}{+9i}\)
6. \((7+3i)+(9+6i)= 7+3i +9+6i =\color{red}{7+9}\color{blue}{+3i +6i}=\color{red}{16}\color{blue}{+9i}\)
7. \((1+4i)+(-3-6i)= 1+4i -3-6i =\color{red}{1-3}\color{blue}{+4i -6i}=\color{red}{-2}\color{blue}{-2i}\)
8. \((9-i)+(1+9i)= 9-i +1+9i =\color{red}{9+1}\color{blue}{-i +9i}=\color{red}{10}\color{blue}{+8i}\)
9. \((-8+6i)-(-1+5i)= -8+6i +1-5i =\color{red}{-8+1}\color{blue}{+6i -5i}=\color{red}{-7}\color{blue}{+i}\)
10. \((-6+3i)-(-9+2i)= -6+3i +9-2i =\color{red}{-6+9}\color{blue}{+3i -2i}=\color{red}{3}\color{blue}{+i}\)
11. \((-9+9i)-(-7-7i)= -9+9i +7+7i =\color{red}{-9+7}\color{blue}{+9i +7i}=\color{red}{-2}\color{blue}{+16i}\)
12. \((8+8i)-(9-9i)= 8+8i -9+9i =\color{red}{8-9}\color{blue}{+8i +9i}=\color{red}{-1}\color{blue}{+17i}\)