Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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