Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((1-9i)+(-9-5i)= 1-9i -9-5i =\color{red}{1-9}\color{blue}{-9i -5i}=\color{red}{-8}\color{blue}{-14i}\)
2. \((-3+i)+(4-7i)= -3+i +4-7i =\color{red}{-3+4}\color{blue}{+i -7i}=\color{red}{1}\color{blue}{-6i}\)
3. \((8+6i)-(6+8i)= 8+6i -6-8i =\color{red}{8-6}\color{blue}{+6i -8i}=\color{red}{2}\color{blue}{-2i}\)
4. \((5+4i)-(10+4i)= 5+4i -10-4i =\color{red}{5-10}\color{blue}{+4i -4i}=\color{red}{-5}\)
5. \((10+i)-(1-i)= 10+i -1+i =\color{red}{10-1}\color{blue}{+i +i}=\color{red}{9}\color{blue}{+2i}\)
6. \((2+4i)-(6+i)= 2+4i -6-i =\color{red}{2-6}\color{blue}{+4i -i}=\color{red}{-4}\color{blue}{+3i}\)
7. \((2-7i)-(-8-10i)= 2-7i +8+10i =\color{red}{2+8}\color{blue}{-7i +10i}=\color{red}{10}\color{blue}{+3i}\)
8. \((-1-10i)+(-10-6i)= -1-10i -10-6i =\color{red}{-1-10}\color{blue}{-10i -6i}=\color{red}{-11}\color{blue}{-16i}\)
9. \((-7-5i)-(-5-2i)= -7-5i +5+2i =\color{red}{-7+5}\color{blue}{-5i +2i}=\color{red}{-2}\color{blue}{-3i}\)
10. \((1+4i)-(-8-i)= 1+4i +8+i =\color{red}{1+8}\color{blue}{+4i +i}=\color{red}{9}\color{blue}{+5i}\)
11. \((-5+5i)-(-6+8i)= -5+5i +6-8i =\color{red}{-5+6}\color{blue}{+5i -8i}=\color{red}{1}\color{blue}{-3i}\)
12. \((-7-2i)+(-8+2i)= -7-2i -8+2i =\color{red}{-7-8}\color{blue}{-2i +2i}=\color{red}{-15}\)