Optellen en aftrekken (a+bi)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \((1-2i)-(6-7i)= 1-2i -6+7i =\color{red}{1-6}\color{blue}{-2i +7i}=\color{red}{-5}\color{blue}{+5i}\)
2. \((9-6i)-(6+7i)= 9-6i -6-7i =\color{red}{9-6}\color{blue}{-6i -7i}=\color{red}{3}\color{blue}{-13i}\)
3. \((5-7i)+(-6-7i)= 5-7i -6-7i =\color{red}{5-6}\color{blue}{-7i -7i}=\color{red}{-1}\color{blue}{-14i}\)
4. \((3-2i)+(-6-8i)= 3-2i -6-8i =\color{red}{3-6}\color{blue}{-2i -8i}=\color{red}{-3}\color{blue}{-10i}\)
5. \((-10-7i)+(-8-9i)= -10-7i -8-9i =\color{red}{-10-8}\color{blue}{-7i -9i}=\color{red}{-18}\color{blue}{-16i}\)
6. \((-5+9i)-(-1-2i)= -5+9i +1+2i =\color{red}{-5+1}\color{blue}{+9i +2i}=\color{red}{-4}\color{blue}{+11i}\)
7. \((4+4i)+(-6+i)= 4+4i -6+i =\color{red}{4-6}\color{blue}{+4i +i}=\color{red}{-2}\color{blue}{+5i}\)
8. \((9+6i)-(-1+7i)= 9+6i +1-7i =\color{red}{9+1}\color{blue}{+6i -7i}=\color{red}{10}\color{blue}{-i}\)
9. \((1-9i)-(-6+i)= 1-9i +6-i =\color{red}{1+6}\color{blue}{-9i -i}=\color{red}{7}\color{blue}{-10i}\)
10. \((10+9i)+(7+3i)= 10+9i +7+3i =\color{red}{10+7}\color{blue}{+9i +3i}=\color{red}{17}\color{blue}{+12i}\)
11. \((-9+i)-(3-3i)= -9+i -3+3i =\color{red}{-9-3}\color{blue}{+i +3i}=\color{red}{-12}\color{blue}{+4i}\)
12. \((-1-3i)-(-8+9i)= -1-3i +8-9i =\color{red}{-1+8}\color{blue}{-3i -9i}=\color{red}{7}\color{blue}{-12i}\)