Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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