Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((4+5i)-(2-8i)= 4+5i -2+8i =\color{red}{4-2}\color{blue}{+5i +8i}=\color{red}{2}\color{blue}{+13i}\)
2. \((5+3i)+(-6+i)= 5+3i -6+i =\color{red}{5-6}\color{blue}{+3i +i}=\color{red}{-1}\color{blue}{+4i}\)
3. \((4+3i)-(4-8i)= 4+3i -4+8i =\color{red}{4-4}\color{blue}{+3i +8i}=\color{blue}{11i}\)
4. \((4-7i)+(-7-2i)= 4-7i -7-2i =\color{red}{4-7}\color{blue}{-7i -2i}=\color{red}{-3}\color{blue}{-9i}\)
5. \((6-10i)-(6-2i)= 6-10i -6+2i =\color{red}{6-6}\color{blue}{-10i +2i}=\color{blue}{-8i}\)
6. \((9+8i)+(1+9i)= 9+8i +1+9i =\color{red}{9+1}\color{blue}{+8i +9i}=\color{red}{10}\color{blue}{+17i}\)
7. \((10+6i)+(9+2i)= 10+6i +9+2i =\color{red}{10+9}\color{blue}{+6i +2i}=\color{red}{19}\color{blue}{+8i}\)
8. \((5+7i)+(-1-i)= 5+7i -1-i =\color{red}{5-1}\color{blue}{+7i -i}=\color{red}{4}\color{blue}{+6i}\)
9. \((-7-8i)+(4-10i)= -7-8i +4-10i =\color{red}{-7+4}\color{blue}{-8i -10i}=\color{red}{-3}\color{blue}{-18i}\)
10. \((-6-10i)-(-4-10i)= -6-10i +4+10i =\color{red}{-6+4}\color{blue}{-10i +10i}=\color{red}{-2}\)
11. \((8+8i)+(-5+8i)= 8+8i -5+8i =\color{red}{8-5}\color{blue}{+8i +8i}=\color{red}{3}\color{blue}{+16i}\)
12. \((-9+8i)-(-7-9i)= -9+8i +7+9i =\color{red}{-9+7}\color{blue}{+8i +9i}=\color{red}{-2}\color{blue}{+17i}\)