Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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