Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5-2i)+(4-8i)= 5-2i +4-8i =\color{red}{5+4}\color{blue}{-2i -8i}=\color{red}{9}\color{blue}{-10i}\)
2. \((9+10i)+(7-6i)= 9+10i +7-6i =\color{red}{9+7}\color{blue}{+10i -6i}=\color{red}{16}\color{blue}{+4i}\)
3. \((-9-3i)-(1+8i)= -9-3i -1-8i =\color{red}{-9-1}\color{blue}{-3i -8i}=\color{red}{-10}\color{blue}{-11i}\)
4. \((2-i)+(10+i)= 2-i +10+i =\color{red}{2+10}\color{blue}{-i +i}=\color{red}{12}\)
5. \((-4+9i)-(10+4i)= -4+9i -10-4i =\color{red}{-4-10}\color{blue}{+9i -4i}=\color{red}{-14}\color{blue}{+5i}\)
6. \((2-8i)+(-1-9i)= 2-8i -1-9i =\color{red}{2-1}\color{blue}{-8i -9i}=\color{red}{1}\color{blue}{-17i}\)
7. \((-3-8i)+(-10+3i)= -3-8i -10+3i =\color{red}{-3-10}\color{blue}{-8i +3i}=\color{red}{-13}\color{blue}{-5i}\)
8. \((-10+9i)-(-8-10i)= -10+9i +8+10i =\color{red}{-10+8}\color{blue}{+9i +10i}=\color{red}{-2}\color{blue}{+19i}\)
9. \((-7+3i)+(-1+6i)= -7+3i -1+6i =\color{red}{-7-1}\color{blue}{+3i +6i}=\color{red}{-8}\color{blue}{+9i}\)
10. \((7-9i)+(-7+8i)= 7-9i -7+8i =\color{red}{7-7}\color{blue}{-9i +8i}=\color{blue}{-i}\)
11. \((-8-7i)-(-2+3i)= -8-7i +2-3i =\color{red}{-8+2}\color{blue}{-7i -3i}=\color{red}{-6}\color{blue}{-10i}\)
12. \((4-2i)-(-4+3i)= 4-2i +4-3i =\color{red}{4+4}\color{blue}{-2i -3i}=\color{red}{8}\color{blue}{-5i}\)