Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-1-3i)-(-8+7i)= -1-3i +8-7i =\color{red}{-1+8}\color{blue}{-3i -7i}=\color{red}{7}\color{blue}{-10i}\)
2. \((4+3i)-(2+7i)= 4+3i -2-7i =\color{red}{4-2}\color{blue}{+3i -7i}=\color{red}{2}\color{blue}{-4i}\)
3. \((-5-4i)+(-1+9i)= -5-4i -1+9i =\color{red}{-5-1}\color{blue}{-4i +9i}=\color{red}{-6}\color{blue}{+5i}\)
4. \((1+3i)-(-9+i)= 1+3i +9-i =\color{red}{1+9}\color{blue}{+3i -i}=\color{red}{10}\color{blue}{+2i}\)
5. \((1+5i)-(2+2i)= 1+5i -2-2i =\color{red}{1-2}\color{blue}{+5i -2i}=\color{red}{-1}\color{blue}{+3i}\)
6. \((2+10i)+(-4+7i)= 2+10i -4+7i =\color{red}{2-4}\color{blue}{+10i +7i}=\color{red}{-2}\color{blue}{+17i}\)
7. \((5-i)+(9+2i)= 5-i +9+2i =\color{red}{5+9}\color{blue}{-i +2i}=\color{red}{14}\color{blue}{+i}\)
8. \((-6+6i)-(9-7i)= -6+6i -9+7i =\color{red}{-6-9}\color{blue}{+6i +7i}=\color{red}{-15}\color{blue}{+13i}\)
9. \((-9-8i)+(-5-i)= -9-8i -5-i =\color{red}{-9-5}\color{blue}{-8i -i}=\color{red}{-14}\color{blue}{-9i}\)
10. \((1+i)-(-4-4i)= 1+i +4+4i =\color{red}{1+4}\color{blue}{+i +4i}=\color{red}{5}\color{blue}{+5i}\)
11. \((9+i)+(-2-4i)= 9+i -2-4i =\color{red}{9-2}\color{blue}{+i -4i}=\color{red}{7}\color{blue}{-3i}\)
12. \((-10-2i)-(-2+i)= -10-2i +2-i =\color{red}{-10+2}\color{blue}{-2i -i}=\color{red}{-8}\color{blue}{-3i}\)