Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5-2i)-(6-5i)= 5-2i -6+5i =\color{red}{5-6}\color{blue}{-2i +5i}=\color{red}{-1}\color{blue}{+3i}\)
2. \((-9+5i)+(-10+10i)= -9+5i -10+10i =\color{red}{-9-10}\color{blue}{+5i +10i}=\color{red}{-19}\color{blue}{+15i}\)
3. \((-10-9i)-(9-i)= -10-9i -9+i =\color{red}{-10-9}\color{blue}{-9i +i}=\color{red}{-19}\color{blue}{-8i}\)
4. \((10-2i)-(2-4i)= 10-2i -2+4i =\color{red}{10-2}\color{blue}{-2i +4i}=\color{red}{8}\color{blue}{+2i}\)
5. \((7+7i)+(-9-8i)= 7+7i -9-8i =\color{red}{7-9}\color{blue}{+7i -8i}=\color{red}{-2}\color{blue}{-i}\)
6. \((2+9i)-(2-7i)= 2+9i -2+7i =\color{red}{2-2}\color{blue}{+9i +7i}=\color{blue}{16i}\)
7. \((5+10i)-(7+9i)= 5+10i -7-9i =\color{red}{5-7}\color{blue}{+10i -9i}=\color{red}{-2}\color{blue}{+i}\)
8. \((6+5i)-(-9-2i)= 6+5i +9+2i =\color{red}{6+9}\color{blue}{+5i +2i}=\color{red}{15}\color{blue}{+7i}\)
9. \((-4-8i)-(7+6i)= -4-8i -7-6i =\color{red}{-4-7}\color{blue}{-8i -6i}=\color{red}{-11}\color{blue}{-14i}\)
10. \((10+9i)-(-10-8i)= 10+9i +10+8i =\color{red}{10+10}\color{blue}{+9i +8i}=\color{red}{20}\color{blue}{+17i}\)
11. \((4-8i)+(2-7i)= 4-8i +2-7i =\color{red}{4+2}\color{blue}{-8i -7i}=\color{red}{6}\color{blue}{-15i}\)
12. \((9-9i)+(7-9i)= 9-9i +7-9i =\color{red}{9+7}\color{blue}{-9i -9i}=\color{red}{16}\color{blue}{-18i}\)