Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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