Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-3+8i)+(4-10i)= -3+8i +4-10i =\color{red}{-3+4}\color{blue}{+8i -10i}=\color{red}{1}\color{blue}{-2i}\)
2. \((-7-7i)-(-1-3i)= -7-7i +1+3i =\color{red}{-7+1}\color{blue}{-7i +3i}=\color{red}{-6}\color{blue}{-4i}\)
3. \((-10+4i)-(-10-5i)= -10+4i +10+5i =\color{red}{-10+10}\color{blue}{+4i +5i}=\color{blue}{9i}\)
4. \((-9+6i)+(-7+4i)= -9+6i -7+4i =\color{red}{-9-7}\color{blue}{+6i +4i}=\color{red}{-16}\color{blue}{+10i}\)
5. \((10-2i)+(-2-2i)= 10-2i -2-2i =\color{red}{10-2}\color{blue}{-2i -2i}=\color{red}{8}\color{blue}{-4i}\)
6. \((6-i)-(1-9i)= 6-i -1+9i =\color{red}{6-1}\color{blue}{-i +9i}=\color{red}{5}\color{blue}{+8i}\)
7. \((-6-5i)+(8+i)= -6-5i +8+i =\color{red}{-6+8}\color{blue}{-5i +i}=\color{red}{2}\color{blue}{-4i}\)
8. \((3-2i)-(-10-8i)= 3-2i +10+8i =\color{red}{3+10}\color{blue}{-2i +8i}=\color{red}{13}\color{blue}{+6i}\)
9. \((2-5i)+(4-5i)= 2-5i +4-5i =\color{red}{2+4}\color{blue}{-5i -5i}=\color{red}{6}\color{blue}{-10i}\)
10. \((8+10i)-(3-5i)= 8+10i -3+5i =\color{red}{8-3}\color{blue}{+10i +5i}=\color{red}{5}\color{blue}{+15i}\)
11. \((9-2i)-(5-9i)= 9-2i -5+9i =\color{red}{9-5}\color{blue}{-2i +9i}=\color{red}{4}\color{blue}{+7i}\)
12. \((1+2i)+(3+6i)= 1+2i +3+6i =\color{red}{1+3}\color{blue}{+2i +6i}=\color{red}{4}\color{blue}{+8i}\)