Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((3-5i)-(-2+10i)= 3-5i +2-10i =\color{red}{3+2}\color{blue}{-5i -10i}=\color{red}{5}\color{blue}{-15i}\)
2. \((7+5i)+(-2+i)= 7+5i -2+i =\color{red}{7-2}\color{blue}{+5i +i}=\color{red}{5}\color{blue}{+6i}\)
3. \((4-5i)+(-7-i)= 4-5i -7-i =\color{red}{4-7}\color{blue}{-5i -i}=\color{red}{-3}\color{blue}{-6i}\)
4. \((10-9i)+(9+i)= 10-9i +9+i =\color{red}{10+9}\color{blue}{-9i +i}=\color{red}{19}\color{blue}{-8i}\)
5. \((4+i)+(-8+3i)= 4+i -8+3i =\color{red}{4-8}\color{blue}{+i +3i}=\color{red}{-4}\color{blue}{+4i}\)
6. \((-8+7i)+(-9-4i)= -8+7i -9-4i =\color{red}{-8-9}\color{blue}{+7i -4i}=\color{red}{-17}\color{blue}{+3i}\)
7. \((-7+9i)+(-5+2i)= -7+9i -5+2i =\color{red}{-7-5}\color{blue}{+9i +2i}=\color{red}{-12}\color{blue}{+11i}\)
8. \((-10+i)-(-7+9i)= -10+i +7-9i =\color{red}{-10+7}\color{blue}{+i -9i}=\color{red}{-3}\color{blue}{-8i}\)
9. \((10-7i)+(-2-2i)= 10-7i -2-2i =\color{red}{10-2}\color{blue}{-7i -2i}=\color{red}{8}\color{blue}{-9i}\)
10. \((-4+8i)+(9-5i)= -4+8i +9-5i =\color{red}{-4+9}\color{blue}{+8i -5i}=\color{red}{5}\color{blue}{+3i}\)
11. \((1+9i)+(2+3i)= 1+9i +2+3i =\color{red}{1+2}\color{blue}{+9i +3i}=\color{red}{3}\color{blue}{+12i}\)
12. \((6+9i)-(-8-2i)= 6+9i +8+2i =\color{red}{6+8}\color{blue}{+9i +2i}=\color{red}{14}\color{blue}{+11i}\)