Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((5-9i)+(1-10i)= 5-9i +1-10i =\color{red}{5+1}\color{blue}{-9i -10i}=\color{red}{6}\color{blue}{-19i}\)
2. \((10-7i)+(3-9i)= 10-7i +3-9i =\color{red}{10+3}\color{blue}{-7i -9i}=\color{red}{13}\color{blue}{-16i}\)
3. \((-10-2i)-(-5-6i)= -10-2i +5+6i =\color{red}{-10+5}\color{blue}{-2i +6i}=\color{red}{-5}\color{blue}{+4i}\)
4. \((3-3i)-(10+9i)= 3-3i -10-9i =\color{red}{3-10}\color{blue}{-3i -9i}=\color{red}{-7}\color{blue}{-12i}\)
5. \((-2-7i)-(5+2i)= -2-7i -5-2i =\color{red}{-2-5}\color{blue}{-7i -2i}=\color{red}{-7}\color{blue}{-9i}\)
6. \((3+7i)-(9+i)= 3+7i -9-i =\color{red}{3-9}\color{blue}{+7i -i}=\color{red}{-6}\color{blue}{+6i}\)
7. \((-8+5i)-(7-7i)= -8+5i -7+7i =\color{red}{-8-7}\color{blue}{+5i +7i}=\color{red}{-15}\color{blue}{+12i}\)
8. \((4+i)+(3-3i)= 4+i +3-3i =\color{red}{4+3}\color{blue}{+i -3i}=\color{red}{7}\color{blue}{-2i}\)
9. \((10+8i)-(8+9i)= 10+8i -8-9i =\color{red}{10-8}\color{blue}{+8i -9i}=\color{red}{2}\color{blue}{-i}\)
10. \((9+6i)+(5-7i)= 9+6i +5-7i =\color{red}{9+5}\color{blue}{+6i -7i}=\color{red}{14}\color{blue}{-i}\)
11. \((-6+6i)-(-1-5i)= -6+6i +1+5i =\color{red}{-6+1}\color{blue}{+6i +5i}=\color{red}{-5}\color{blue}{+11i}\)
12. \((-6-6i)-(-8-5i)= -6-6i +8+5i =\color{red}{-6+8}\color{blue}{-6i +5i}=\color{red}{2}\color{blue}{-i}\)