Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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