Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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