Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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