Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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