Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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