Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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