Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-4+i)-(9-8i)= -4+i -9+8i =\color{red}{-4-9}\color{blue}{+i +8i}=\color{red}{-13}\color{blue}{+9i}\)
2. \((-10-7i)+(-7-8i)= -10-7i -7-8i =\color{red}{-10-7}\color{blue}{-7i -8i}=\color{red}{-17}\color{blue}{-15i}\)
3. \((-9+8i)-(-9-7i)= -9+8i +9+7i =\color{red}{-9+9}\color{blue}{+8i +7i}=\color{blue}{15i}\)
4. \((1-2i)+(-1+3i)= 1-2i -1+3i =\color{red}{1-1}\color{blue}{-2i +3i}=\color{blue}{i}\)
5. \((1+4i)-(2-6i)= 1+4i -2+6i =\color{red}{1-2}\color{blue}{+4i +6i}=\color{red}{-1}\color{blue}{+10i}\)
6. \((-8-5i)-(-9-4i)= -8-5i +9+4i =\color{red}{-8+9}\color{blue}{-5i +4i}=\color{red}{1}\color{blue}{-i}\)
7. \((-7+9i)+(-5-10i)= -7+9i -5-10i =\color{red}{-7-5}\color{blue}{+9i -10i}=\color{red}{-12}\color{blue}{-i}\)
8. \((6+2i)-(-1-6i)= 6+2i +1+6i =\color{red}{6+1}\color{blue}{+2i +6i}=\color{red}{7}\color{blue}{+8i}\)
9. \((5-8i)+(10+3i)= 5-8i +10+3i =\color{red}{5+10}\color{blue}{-8i +3i}=\color{red}{15}\color{blue}{-5i}\)
10. \((5+10i)+(-10-8i)= 5+10i -10-8i =\color{red}{5-10}\color{blue}{+10i -8i}=\color{red}{-5}\color{blue}{+2i}\)
11. \((-5-7i)-(-8-8i)= -5-7i +8+8i =\color{red}{-5+8}\color{blue}{-7i +8i}=\color{red}{3}\color{blue}{+i}\)
12. \((-2-5i)+(2+5i)= -2-5i +2+5i =\color{red}{-2+2}\color{blue}{-5i +5i}=\color{red}{0}\)