Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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