Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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