Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((8-10i)-(7-3i)= 8-10i -7+3i =\color{red}{8-7}\color{blue}{-10i +3i}=\color{red}{1}\color{blue}{-7i}\)
2. \((-10+7i)+(-8-4i)= -10+7i -8-4i =\color{red}{-10-8}\color{blue}{+7i -4i}=\color{red}{-18}\color{blue}{+3i}\)
3. \((-8+8i)+(10-8i)= -8+8i +10-8i =\color{red}{-8+10}\color{blue}{+8i -8i}=\color{red}{2}\)
4. \((-9+2i)-(7-8i)= -9+2i -7+8i =\color{red}{-9-7}\color{blue}{+2i +8i}=\color{red}{-16}\color{blue}{+10i}\)
5. \((6-6i)-(-9+8i)= 6-6i +9-8i =\color{red}{6+9}\color{blue}{-6i -8i}=\color{red}{15}\color{blue}{-14i}\)
6. \((-9-9i)+(-2+i)= -9-9i -2+i =\color{red}{-9-2}\color{blue}{-9i +i}=\color{red}{-11}\color{blue}{-8i}\)
7. \((4-7i)-(7+5i)= 4-7i -7-5i =\color{red}{4-7}\color{blue}{-7i -5i}=\color{red}{-3}\color{blue}{-12i}\)
8. \((7-7i)-(7+10i)= 7-7i -7-10i =\color{red}{7-7}\color{blue}{-7i -10i}=\color{blue}{-17i}\)
9. \((4+2i)+(2+3i)= 4+2i +2+3i =\color{red}{4+2}\color{blue}{+2i +3i}=\color{red}{6}\color{blue}{+5i}\)
10. \((-6+2i)+(-6-7i)= -6+2i -6-7i =\color{red}{-6-6}\color{blue}{+2i -7i}=\color{red}{-12}\color{blue}{-5i}\)
11. \((-2+10i)-(-10-9i)= -2+10i +10+9i =\color{red}{-2+10}\color{blue}{+10i +9i}=\color{red}{8}\color{blue}{+19i}\)
12. \((2-3i)+(-4-8i)= 2-3i -4-8i =\color{red}{2-4}\color{blue}{-3i -8i}=\color{red}{-2}\color{blue}{-11i}\)