Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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