Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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