Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((10+7i)+(-8+8i)= 10+7i -8+8i =\color{red}{10-8}\color{blue}{+7i +8i}=\color{red}{2}\color{blue}{+15i}\)
2. \((6-9i)+(-2-8i)= 6-9i -2-8i =\color{red}{6-2}\color{blue}{-9i -8i}=\color{red}{4}\color{blue}{-17i}\)
3. \((9+3i)+(7-10i)= 9+3i +7-10i =\color{red}{9+7}\color{blue}{+3i -10i}=\color{red}{16}\color{blue}{-7i}\)
4. \((8+4i)+(6+3i)= 8+4i +6+3i =\color{red}{8+6}\color{blue}{+4i +3i}=\color{red}{14}\color{blue}{+7i}\)
5. \((5-3i)+(4+6i)= 5-3i +4+6i =\color{red}{5+4}\color{blue}{-3i +6i}=\color{red}{9}\color{blue}{+3i}\)
6. \((7-4i)-(4+5i)= 7-4i -4-5i =\color{red}{7-4}\color{blue}{-4i -5i}=\color{red}{3}\color{blue}{-9i}\)
7. \((-5-6i)-(-10-2i)= -5-6i +10+2i =\color{red}{-5+10}\color{blue}{-6i +2i}=\color{red}{5}\color{blue}{-4i}\)
8. \((-9-10i)+(-4-3i)= -9-10i -4-3i =\color{red}{-9-4}\color{blue}{-10i -3i}=\color{red}{-13}\color{blue}{-13i}\)
9. \((-1-8i)+(-7-9i)= -1-8i -7-9i =\color{red}{-1-7}\color{blue}{-8i -9i}=\color{red}{-8}\color{blue}{-17i}\)
10. \((6-6i)-(-10+3i)= 6-6i +10-3i =\color{red}{6+10}\color{blue}{-6i -3i}=\color{red}{16}\color{blue}{-9i}\)
11. \((-7+7i)+(-7-2i)= -7+7i -7-2i =\color{red}{-7-7}\color{blue}{+7i -2i}=\color{red}{-14}\color{blue}{+5i}\)
12. \((8-i)+(8+9i)= 8-i +8+9i =\color{red}{8+8}\color{blue}{-i +9i}=\color{red}{16}\color{blue}{+8i}\)