Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((7+9i)-(4+7i)= 7+9i -4-7i =\color{red}{7-4}\color{blue}{+9i -7i}=\color{red}{3}\color{blue}{+2i}\)
2. \((4+3i)+(2-3i)= 4+3i +2-3i =\color{red}{4+2}\color{blue}{+3i -3i}=\color{red}{6}\)
3. \((6+7i)-(-4-6i)= 6+7i +4+6i =\color{red}{6+4}\color{blue}{+7i +6i}=\color{red}{10}\color{blue}{+13i}\)
4. \((-8+9i)+(10-4i)= -8+9i +10-4i =\color{red}{-8+10}\color{blue}{+9i -4i}=\color{red}{2}\color{blue}{+5i}\)
5. \((8-9i)-(-7+6i)= 8-9i +7-6i =\color{red}{8+7}\color{blue}{-9i -6i}=\color{red}{15}\color{blue}{-15i}\)
6. \((-10+10i)-(-2-6i)= -10+10i +2+6i =\color{red}{-10+2}\color{blue}{+10i +6i}=\color{red}{-8}\color{blue}{+16i}\)
7. \((5+7i)-(5+9i)= 5+7i -5-9i =\color{red}{5-5}\color{blue}{+7i -9i}=\color{blue}{-2i}\)
8. \((-4-9i)-(-10-9i)= -4-9i +10+9i =\color{red}{-4+10}\color{blue}{-9i +9i}=\color{red}{6}\)
9. \((2-8i)+(2-5i)= 2-8i +2-5i =\color{red}{2+2}\color{blue}{-8i -5i}=\color{red}{4}\color{blue}{-13i}\)
10. \((-7+i)+(-3-2i)= -7+i -3-2i =\color{red}{-7-3}\color{blue}{+i -2i}=\color{red}{-10}\color{blue}{-i}\)
11. \((-1+2i)+(-6+7i)= -1+2i -6+7i =\color{red}{-1-6}\color{blue}{+2i +7i}=\color{red}{-7}\color{blue}{+9i}\)
12. \((-7-2i)+(-9+4i)= -7-2i -9+4i =\color{red}{-7-9}\color{blue}{-2i +4i}=\color{red}{-16}\color{blue}{+2i}\)