Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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