Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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