Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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