Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((1+i)-(-2-7i)= 1+i +2+7i =\color{red}{1+2}\color{blue}{+i +7i}=\color{red}{3}\color{blue}{+8i}\)
2. \((2-10i)-(1+9i)= 2-10i -1-9i =\color{red}{2-1}\color{blue}{-10i -9i}=\color{red}{1}\color{blue}{-19i}\)
3. \((4-5i)-(3+6i)= 4-5i -3-6i =\color{red}{4-3}\color{blue}{-5i -6i}=\color{red}{1}\color{blue}{-11i}\)
4. \((1-3i)-(4+8i)= 1-3i -4-8i =\color{red}{1-4}\color{blue}{-3i -8i}=\color{red}{-3}\color{blue}{-11i}\)
5. \((-4+7i)+(2-10i)= -4+7i +2-10i =\color{red}{-4+2}\color{blue}{+7i -10i}=\color{red}{-2}\color{blue}{-3i}\)
6. \((2-10i)-(1-10i)= 2-10i -1+10i =\color{red}{2-1}\color{blue}{-10i +10i}=\color{red}{1}\)
7. \((-3+8i)-(-10-i)= -3+8i +10+i =\color{red}{-3+10}\color{blue}{+8i +i}=\color{red}{7}\color{blue}{+9i}\)
8. \((-1-3i)-(-8+i)= -1-3i +8-i =\color{red}{-1+8}\color{blue}{-3i -i}=\color{red}{7}\color{blue}{-4i}\)
9. \((-7-5i)+(-2-8i)= -7-5i -2-8i =\color{red}{-7-2}\color{blue}{-5i -8i}=\color{red}{-9}\color{blue}{-13i}\)
10. \((-6-i)-(3-10i)= -6-i -3+10i =\color{red}{-6-3}\color{blue}{-i +10i}=\color{red}{-9}\color{blue}{+9i}\)
11. \((6-2i)+(9-5i)= 6-2i +9-5i =\color{red}{6+9}\color{blue}{-2i -5i}=\color{red}{15}\color{blue}{-7i}\)
12. \((-6+9i)-(-10+10i)= -6+9i +10-10i =\color{red}{-6+10}\color{blue}{+9i -10i}=\color{red}{4}\color{blue}{-i}\)