Optellen en aftrekken (a+bi)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

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