Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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