Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((7-4i)+(10+8i)= 7-4i +10+8i =\color{red}{7+10}\color{blue}{-4i +8i}=\color{red}{17}\color{blue}{+4i}\)
2. \((4+i)+(-6+7i)= 4+i -6+7i =\color{red}{4-6}\color{blue}{+i +7i}=\color{red}{-2}\color{blue}{+8i}\)
3. \((-5+2i)+(7+5i)= -5+2i +7+5i =\color{red}{-5+7}\color{blue}{+2i +5i}=\color{red}{2}\color{blue}{+7i}\)
4. \((9-5i)+(8-6i)= 9-5i +8-6i =\color{red}{9+8}\color{blue}{-5i -6i}=\color{red}{17}\color{blue}{-11i}\)
5. \((-5+10i)-(-3-6i)= -5+10i +3+6i =\color{red}{-5+3}\color{blue}{+10i +6i}=\color{red}{-2}\color{blue}{+16i}\)
6. \((-10-3i)-(5-4i)= -10-3i -5+4i =\color{red}{-10-5}\color{blue}{-3i +4i}=\color{red}{-15}\color{blue}{+i}\)
7. \((10+10i)-(5+i)= 10+10i -5-i =\color{red}{10-5}\color{blue}{+10i -i}=\color{red}{5}\color{blue}{+9i}\)
8. \((3+7i)-(-1-4i)= 3+7i +1+4i =\color{red}{3+1}\color{blue}{+7i +4i}=\color{red}{4}\color{blue}{+11i}\)
9. \((5+3i)-(5+7i)= 5+3i -5-7i =\color{red}{5-5}\color{blue}{+3i -7i}=\color{blue}{-4i}\)
10. \((-1-i)+(10-10i)= -1-i +10-10i =\color{red}{-1+10}\color{blue}{-i -10i}=\color{red}{9}\color{blue}{-11i}\)
11. \((9-2i)+(6-6i)= 9-2i +6-6i =\color{red}{9+6}\color{blue}{-2i -6i}=\color{red}{15}\color{blue}{-8i}\)
12. \((-4+8i)-(3-5i)= -4+8i -3+5i =\color{red}{-4-3}\color{blue}{+8i +5i}=\color{red}{-7}\color{blue}{+13i}\)