Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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