Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-5+4i)+(5-7i)= -5+4i +5-7i =\color{red}{-5+5}\color{blue}{+4i -7i}=\color{blue}{-3i}\)
2. \((-4-10i)+(1+9i)= -4-10i +1+9i =\color{red}{-4+1}\color{blue}{-10i +9i}=\color{red}{-3}\color{blue}{-i}\)
3. \((-8+10i)-(6-10i)= -8+10i -6+10i =\color{red}{-8-6}\color{blue}{+10i +10i}=\color{red}{-14}\color{blue}{+20i}\)
4. \((-3-8i)+(-7+10i)= -3-8i -7+10i =\color{red}{-3-7}\color{blue}{-8i +10i}=\color{red}{-10}\color{blue}{+2i}\)
5. \((2-4i)+(9+i)= 2-4i +9+i =\color{red}{2+9}\color{blue}{-4i +i}=\color{red}{11}\color{blue}{-3i}\)
6. \((-7-4i)+(-9+9i)= -7-4i -9+9i =\color{red}{-7-9}\color{blue}{-4i +9i}=\color{red}{-16}\color{blue}{+5i}\)
7. \((5+7i)+(2+4i)= 5+7i +2+4i =\color{red}{5+2}\color{blue}{+7i +4i}=\color{red}{7}\color{blue}{+11i}\)
8. \((-4-3i)-(6+8i)= -4-3i -6-8i =\color{red}{-4-6}\color{blue}{-3i -8i}=\color{red}{-10}\color{blue}{-11i}\)
9. \((7+3i)-(1-2i)= 7+3i -1+2i =\color{red}{7-1}\color{blue}{+3i +2i}=\color{red}{6}\color{blue}{+5i}\)
10. \((-2-8i)-(-5+9i)= -2-8i +5-9i =\color{red}{-2+5}\color{blue}{-8i -9i}=\color{red}{3}\color{blue}{-17i}\)
11. \((-8+2i)+(9+3i)= -8+2i +9+3i =\color{red}{-8+9}\color{blue}{+2i +3i}=\color{red}{1}\color{blue}{+5i}\)
12. \((10-4i)+(-5-6i)= 10-4i -5-6i =\color{red}{10-5}\color{blue}{-4i -6i}=\color{red}{5}\color{blue}{-10i}\)