Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-9+7i)+(2+i)= -9+7i +2+i =\color{red}{-9+2}\color{blue}{+7i +i}=\color{red}{-7}\color{blue}{+8i}\)
2. \((-2-2i)-(-5-3i)= -2-2i +5+3i =\color{red}{-2+5}\color{blue}{-2i +3i}=\color{red}{3}\color{blue}{+i}\)
3. \((6-9i)-(-4-4i)= 6-9i +4+4i =\color{red}{6+4}\color{blue}{-9i +4i}=\color{red}{10}\color{blue}{-5i}\)
4. \((-9+6i)-(2+5i)= -9+6i -2-5i =\color{red}{-9-2}\color{blue}{+6i -5i}=\color{red}{-11}\color{blue}{+i}\)
5. \((-7+9i)+(-9+i)= -7+9i -9+i =\color{red}{-7-9}\color{blue}{+9i +i}=\color{red}{-16}\color{blue}{+10i}\)
6. \((2+2i)+(7-2i)= 2+2i +7-2i =\color{red}{2+7}\color{blue}{+2i -2i}=\color{red}{9}\)
7. \((7+10i)+(3+8i)= 7+10i +3+8i =\color{red}{7+3}\color{blue}{+10i +8i}=\color{red}{10}\color{blue}{+18i}\)
8. \((8+9i)-(1-9i)= 8+9i -1+9i =\color{red}{8-1}\color{blue}{+9i +9i}=\color{red}{7}\color{blue}{+18i}\)
9. \((7+8i)+(1+4i)= 7+8i +1+4i =\color{red}{7+1}\color{blue}{+8i +4i}=\color{red}{8}\color{blue}{+12i}\)
10. \((3+6i)+(-1+9i)= 3+6i -1+9i =\color{red}{3-1}\color{blue}{+6i +9i}=\color{red}{2}\color{blue}{+15i}\)
11. \((2+3i)+(3+i)= 2+3i +3+i =\color{red}{2+3}\color{blue}{+3i +i}=\color{red}{5}\color{blue}{+4i}\)
12. \((7+6i)-(-8+7i)= 7+6i +8-7i =\color{red}{7+8}\color{blue}{+6i -7i}=\color{red}{15}\color{blue}{-i}\)