Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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