Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5-4i)-(-1+3i)= 5-4i +1-3i =\color{red}{5+1}\color{blue}{-4i -3i}=\color{red}{6}\color{blue}{-7i}\)
2. \((7+i)+(1-8i)= 7+i +1-8i =\color{red}{7+1}\color{blue}{+i -8i}=\color{red}{8}\color{blue}{-7i}\)
3. \((-7-5i)-(-8+10i)= -7-5i +8-10i =\color{red}{-7+8}\color{blue}{-5i -10i}=\color{red}{1}\color{blue}{-15i}\)
4. \((-7-3i)-(-10+5i)= -7-3i +10-5i =\color{red}{-7+10}\color{blue}{-3i -5i}=\color{red}{3}\color{blue}{-8i}\)
5. \((10+9i)-(2+10i)= 10+9i -2-10i =\color{red}{10-2}\color{blue}{+9i -10i}=\color{red}{8}\color{blue}{-i}\)
6. \((-7+9i)+(9-10i)= -7+9i +9-10i =\color{red}{-7+9}\color{blue}{+9i -10i}=\color{red}{2}\color{blue}{-i}\)
7. \((-8-3i)+(-8+4i)= -8-3i -8+4i =\color{red}{-8-8}\color{blue}{-3i +4i}=\color{red}{-16}\color{blue}{+i}\)
8. \((-9+7i)-(2+10i)= -9+7i -2-10i =\color{red}{-9-2}\color{blue}{+7i -10i}=\color{red}{-11}\color{blue}{-3i}\)
9. \((-2+4i)+(-3+4i)= -2+4i -3+4i =\color{red}{-2-3}\color{blue}{+4i +4i}=\color{red}{-5}\color{blue}{+8i}\)
10. \((6+i)-(-2+9i)= 6+i +2-9i =\color{red}{6+2}\color{blue}{+i -9i}=\color{red}{8}\color{blue}{-8i}\)
11. \((-10+5i)+(3-7i)= -10+5i +3-7i =\color{red}{-10+3}\color{blue}{+5i -7i}=\color{red}{-7}\color{blue}{-2i}\)
12. \((4+3i)+(-6+10i)= 4+3i -6+10i =\color{red}{4-6}\color{blue}{+3i +10i}=\color{red}{-2}\color{blue}{+13i}\)