Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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