Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-5+i)+(4-7i)= -5+i +4-7i =\color{red}{-5+4}\color{blue}{+i -7i}=\color{red}{-1}\color{blue}{-6i}\)
2. \((9-10i)-(-3-i)= 9-10i +3+i =\color{red}{9+3}\color{blue}{-10i +i}=\color{red}{12}\color{blue}{-9i}\)
3. \((-2-8i)-(9-7i)= -2-8i -9+7i =\color{red}{-2-9}\color{blue}{-8i +7i}=\color{red}{-11}\color{blue}{-i}\)
4. \((-2-2i)+(5-2i)= -2-2i +5-2i =\color{red}{-2+5}\color{blue}{-2i -2i}=\color{red}{3}\color{blue}{-4i}\)
5. \((9+5i)+(1+9i)= 9+5i +1+9i =\color{red}{9+1}\color{blue}{+5i +9i}=\color{red}{10}\color{blue}{+14i}\)
6. \((4-2i)+(-5+10i)= 4-2i -5+10i =\color{red}{4-5}\color{blue}{-2i +10i}=\color{red}{-1}\color{blue}{+8i}\)
7. \((-7-6i)+(8-i)= -7-6i +8-i =\color{red}{-7+8}\color{blue}{-6i -i}=\color{red}{1}\color{blue}{-7i}\)
8. \((-8-5i)-(-6-2i)= -8-5i +6+2i =\color{red}{-8+6}\color{blue}{-5i +2i}=\color{red}{-2}\color{blue}{-3i}\)
9. \((3-10i)+(3-6i)= 3-10i +3-6i =\color{red}{3+3}\color{blue}{-10i -6i}=\color{red}{6}\color{blue}{-16i}\)
10. \((-3+8i)+(4+6i)= -3+8i +4+6i =\color{red}{-3+4}\color{blue}{+8i +6i}=\color{red}{1}\color{blue}{+14i}\)
11. \((6-4i)-(7+4i)= 6-4i -7-4i =\color{red}{6-7}\color{blue}{-4i -4i}=\color{red}{-1}\color{blue}{-8i}\)
12. \((-9-3i)-(4-2i)= -9-3i -4+2i =\color{red}{-9-4}\color{blue}{-3i +2i}=\color{red}{-13}\color{blue}{-i}\)