Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-10-8i)+(-10+2i)= -10-8i -10+2i =\color{red}{-10-10}\color{blue}{-8i +2i}=\color{red}{-20}\color{blue}{-6i}\)
2. \((8+i)+(2+i)= 8+i +2+i =\color{red}{8+2}\color{blue}{+i +i}=\color{red}{10}\color{blue}{+2i}\)
3. \((-2-5i)-(3+6i)= -2-5i -3-6i =\color{red}{-2-3}\color{blue}{-5i -6i}=\color{red}{-5}\color{blue}{-11i}\)
4. \((10-4i)-(-6-8i)= 10-4i +6+8i =\color{red}{10+6}\color{blue}{-4i +8i}=\color{red}{16}\color{blue}{+4i}\)
5. \((-8+9i)+(6+10i)= -8+9i +6+10i =\color{red}{-8+6}\color{blue}{+9i +10i}=\color{red}{-2}\color{blue}{+19i}\)
6. \((3+10i)-(-1+8i)= 3+10i +1-8i =\color{red}{3+1}\color{blue}{+10i -8i}=\color{red}{4}\color{blue}{+2i}\)
7. \((3+10i)+(7-7i)= 3+10i +7-7i =\color{red}{3+7}\color{blue}{+10i -7i}=\color{red}{10}\color{blue}{+3i}\)
8. \((2-2i)+(-5-4i)= 2-2i -5-4i =\color{red}{2-5}\color{blue}{-2i -4i}=\color{red}{-3}\color{blue}{-6i}\)
9. \((-4-5i)-(-3-7i)= -4-5i +3+7i =\color{red}{-4+3}\color{blue}{-5i +7i}=\color{red}{-1}\color{blue}{+2i}\)
10. \((-5+2i)-(-7-6i)= -5+2i +7+6i =\color{red}{-5+7}\color{blue}{+2i +6i}=\color{red}{2}\color{blue}{+8i}\)
11. \((-4-i)+(-6+i)= -4-i -6+i =\color{red}{-4-6}\color{blue}{-i +i}=\color{red}{-10}\)
12. \((-5+5i)-(-5-7i)= -5+5i +5+7i =\color{red}{-5+5}\color{blue}{+5i +7i}=\color{blue}{12i}\)