Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((1+2i)-(-5-8i)= 1+2i +5+8i =\color{red}{1+5}\color{blue}{+2i +8i}=\color{red}{6}\color{blue}{+10i}\)
2. \((9+i)-(3-9i)= 9+i -3+9i =\color{red}{9-3}\color{blue}{+i +9i}=\color{red}{6}\color{blue}{+10i}\)
3. \((7-9i)-(-10+i)= 7-9i +10-i =\color{red}{7+10}\color{blue}{-9i -i}=\color{red}{17}\color{blue}{-10i}\)
4. \((-7+6i)-(-2-8i)= -7+6i +2+8i =\color{red}{-7+2}\color{blue}{+6i +8i}=\color{red}{-5}\color{blue}{+14i}\)
5. \((-2+4i)+(6+4i)= -2+4i +6+4i =\color{red}{-2+6}\color{blue}{+4i +4i}=\color{red}{4}\color{blue}{+8i}\)
6. \((1-10i)+(1-6i)= 1-10i +1-6i =\color{red}{1+1}\color{blue}{-10i -6i}=\color{red}{2}\color{blue}{-16i}\)
7. \((-9-7i)-(9-6i)= -9-7i -9+6i =\color{red}{-9-9}\color{blue}{-7i +6i}=\color{red}{-18}\color{blue}{-i}\)
8. \((7-9i)-(1+4i)= 7-9i -1-4i =\color{red}{7-1}\color{blue}{-9i -4i}=\color{red}{6}\color{blue}{-13i}\)
9. \((-4-5i)-(-2+2i)= -4-5i +2-2i =\color{red}{-4+2}\color{blue}{-5i -2i}=\color{red}{-2}\color{blue}{-7i}\)
10. \((-7-10i)+(6-8i)= -7-10i +6-8i =\color{red}{-7+6}\color{blue}{-10i -8i}=\color{red}{-1}\color{blue}{-18i}\)
11. \((3+4i)+(-4+8i)= 3+4i -4+8i =\color{red}{3-4}\color{blue}{+4i +8i}=\color{red}{-1}\color{blue}{+12i}\)
12. \((-5+5i)+(4-8i)= -5+5i +4-8i =\color{red}{-5+4}\color{blue}{+5i -8i}=\color{red}{-1}\color{blue}{-3i}\)