Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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