Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((9-2i)+(7+i)= 9-2i +7+i =\color{red}{9+7}\color{blue}{-2i +i}=\color{red}{16}\color{blue}{-i}\)
2. \((9-3i)-(5-8i)= 9-3i -5+8i =\color{red}{9-5}\color{blue}{-3i +8i}=\color{red}{4}\color{blue}{+5i}\)
3. \((1-8i)-(3-4i)= 1-8i -3+4i =\color{red}{1-3}\color{blue}{-8i +4i}=\color{red}{-2}\color{blue}{-4i}\)
4. \((-7+3i)+(2-8i)= -7+3i +2-8i =\color{red}{-7+2}\color{blue}{+3i -8i}=\color{red}{-5}\color{blue}{-5i}\)
5. \((9+6i)+(-8-10i)= 9+6i -8-10i =\color{red}{9-8}\color{blue}{+6i -10i}=\color{red}{1}\color{blue}{-4i}\)
6. \((-10-6i)-(2+5i)= -10-6i -2-5i =\color{red}{-10-2}\color{blue}{-6i -5i}=\color{red}{-12}\color{blue}{-11i}\)
7. \((-9+8i)-(5-10i)= -9+8i -5+10i =\color{red}{-9-5}\color{blue}{+8i +10i}=\color{red}{-14}\color{blue}{+18i}\)
8. \((2+2i)+(-5-5i)= 2+2i -5-5i =\color{red}{2-5}\color{blue}{+2i -5i}=\color{red}{-3}\color{blue}{-3i}\)
9. \((4-10i)+(7+6i)= 4-10i +7+6i =\color{red}{4+7}\color{blue}{-10i +6i}=\color{red}{11}\color{blue}{-4i}\)
10. \((-1-2i)-(4-7i)= -1-2i -4+7i =\color{red}{-1-4}\color{blue}{-2i +7i}=\color{red}{-5}\color{blue}{+5i}\)
11. \((2+4i)+(4+10i)= 2+4i +4+10i =\color{red}{2+4}\color{blue}{+4i +10i}=\color{red}{6}\color{blue}{+14i}\)
12. \((-2+5i)-(-7-4i)= -2+5i +7+4i =\color{red}{-2+7}\color{blue}{+5i +4i}=\color{red}{5}\color{blue}{+9i}\)