Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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