Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-8-4i)+(2+8i)= -8-4i +2+8i =\color{red}{-8+2}\color{blue}{-4i +8i}=\color{red}{-6}\color{blue}{+4i}\)
2. \((-3-10i)-(9+i)= -3-10i -9-i =\color{red}{-3-9}\color{blue}{-10i -i}=\color{red}{-12}\color{blue}{-11i}\)
3. \((6-3i)+(-3-6i)= 6-3i -3-6i =\color{red}{6-3}\color{blue}{-3i -6i}=\color{red}{3}\color{blue}{-9i}\)
4. \((-3-10i)-(-10-8i)= -3-10i +10+8i =\color{red}{-3+10}\color{blue}{-10i +8i}=\color{red}{7}\color{blue}{-2i}\)
5. \((-7+i)+(3-7i)= -7+i +3-7i =\color{red}{-7+3}\color{blue}{+i -7i}=\color{red}{-4}\color{blue}{-6i}\)
6. \((9+3i)-(3+8i)= 9+3i -3-8i =\color{red}{9-3}\color{blue}{+3i -8i}=\color{red}{6}\color{blue}{-5i}\)
7. \((-6-6i)-(7+9i)= -6-6i -7-9i =\color{red}{-6-7}\color{blue}{-6i -9i}=\color{red}{-13}\color{blue}{-15i}\)
8. \((-5-4i)+(1-10i)= -5-4i +1-10i =\color{red}{-5+1}\color{blue}{-4i -10i}=\color{red}{-4}\color{blue}{-14i}\)
9. \((-8+4i)+(2-5i)= -8+4i +2-5i =\color{red}{-8+2}\color{blue}{+4i -5i}=\color{red}{-6}\color{blue}{-i}\)
10. \((10+9i)+(-4+2i)= 10+9i -4+2i =\color{red}{10-4}\color{blue}{+9i +2i}=\color{red}{6}\color{blue}{+11i}\)
11. \((-3+i)-(-2+i)= -3+i +2-i =\color{red}{-3+2}\color{blue}{+i -i}=\color{red}{-1}\)
12. \((1+4i)-(6-2i)= 1+4i -6+2i =\color{red}{1-6}\color{blue}{+4i +2i}=\color{red}{-5}\color{blue}{+6i}\)