Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((10-4i)-(-1-10i)= 10-4i +1+10i =\color{red}{10+1}\color{blue}{-4i +10i}=\color{red}{11}\color{blue}{+6i}\)
2. \((8+5i)-(-4+6i)= 8+5i +4-6i =\color{red}{8+4}\color{blue}{+5i -6i}=\color{red}{12}\color{blue}{-i}\)
3. \((6+8i)-(-4-7i)= 6+8i +4+7i =\color{red}{6+4}\color{blue}{+8i +7i}=\color{red}{10}\color{blue}{+15i}\)
4. \((-10-6i)-(1+3i)= -10-6i -1-3i =\color{red}{-10-1}\color{blue}{-6i -3i}=\color{red}{-11}\color{blue}{-9i}\)
5. \((6+5i)+(-10-10i)= 6+5i -10-10i =\color{red}{6-10}\color{blue}{+5i -10i}=\color{red}{-4}\color{blue}{-5i}\)
6. \((-8+8i)-(5+7i)= -8+8i -5-7i =\color{red}{-8-5}\color{blue}{+8i -7i}=\color{red}{-13}\color{blue}{+i}\)
7. \((-6-i)-(-1+3i)= -6-i +1-3i =\color{red}{-6+1}\color{blue}{-i -3i}=\color{red}{-5}\color{blue}{-4i}\)
8. \((6-2i)-(10+2i)= 6-2i -10-2i =\color{red}{6-10}\color{blue}{-2i -2i}=\color{red}{-4}\color{blue}{-4i}\)
9. \((-10-i)+(5-6i)= -10-i +5-6i =\color{red}{-10+5}\color{blue}{-i -6i}=\color{red}{-5}\color{blue}{-7i}\)
10. \((-2+3i)+(-1-i)= -2+3i -1-i =\color{red}{-2-1}\color{blue}{+3i -i}=\color{red}{-3}\color{blue}{+2i}\)
11. \((-3+10i)+(-5+i)= -3+10i -5+i =\color{red}{-3-5}\color{blue}{+10i +i}=\color{red}{-8}\color{blue}{+11i}\)
12. \((-7-8i)+(-2-i)= -7-8i -2-i =\color{red}{-7-2}\color{blue}{-8i -i}=\color{red}{-9}\color{blue}{-9i}\)