Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((3-7i)-(-5+10i)= 3-7i +5-10i =\color{red}{3+5}\color{blue}{-7i -10i}=\color{red}{8}\color{blue}{-17i}\)
2. \((7+5i)+(-4-2i)= 7+5i -4-2i =\color{red}{7-4}\color{blue}{+5i -2i}=\color{red}{3}\color{blue}{+3i}\)
3. \((10-4i)-(2+7i)= 10-4i -2-7i =\color{red}{10-2}\color{blue}{-4i -7i}=\color{red}{8}\color{blue}{-11i}\)
4. \((6-i)+(10-7i)= 6-i +10-7i =\color{red}{6+10}\color{blue}{-i -7i}=\color{red}{16}\color{blue}{-8i}\)
5. \((-2+i)-(7+4i)= -2+i -7-4i =\color{red}{-2-7}\color{blue}{+i -4i}=\color{red}{-9}\color{blue}{-3i}\)
6. \((-4-6i)-(7-2i)= -4-6i -7+2i =\color{red}{-4-7}\color{blue}{-6i +2i}=\color{red}{-11}\color{blue}{-4i}\)
7. \((10-6i)-(3-5i)= 10-6i -3+5i =\color{red}{10-3}\color{blue}{-6i +5i}=\color{red}{7}\color{blue}{-i}\)
8. \((-2-7i)+(8-10i)= -2-7i +8-10i =\color{red}{-2+8}\color{blue}{-7i -10i}=\color{red}{6}\color{blue}{-17i}\)
9. \((-2+8i)-(-5-8i)= -2+8i +5+8i =\color{red}{-2+5}\color{blue}{+8i +8i}=\color{red}{3}\color{blue}{+16i}\)
10. \((-5+8i)-(-9-9i)= -5+8i +9+9i =\color{red}{-5+9}\color{blue}{+8i +9i}=\color{red}{4}\color{blue}{+17i}\)
11. \((10+9i)+(5-5i)= 10+9i +5-5i =\color{red}{10+5}\color{blue}{+9i -5i}=\color{red}{15}\color{blue}{+4i}\)
12. \((-1+3i)-(6-8i)= -1+3i -6+8i =\color{red}{-1-6}\color{blue}{+3i +8i}=\color{red}{-7}\color{blue}{+11i}\)