Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((6-10i)-(-7+2i)= 6-10i +7-2i =\color{red}{6+7}\color{blue}{-10i -2i}=\color{red}{13}\color{blue}{-12i}\)
2. \((5+10i)+(1+i)= 5+10i +1+i =\color{red}{5+1}\color{blue}{+10i +i}=\color{red}{6}\color{blue}{+11i}\)
3. \((1-5i)-(-2-9i)= 1-5i +2+9i =\color{red}{1+2}\color{blue}{-5i +9i}=\color{red}{3}\color{blue}{+4i}\)
4. \((-3-8i)-(1-7i)= -3-8i -1+7i =\color{red}{-3-1}\color{blue}{-8i +7i}=\color{red}{-4}\color{blue}{-i}\)
5. \((1+6i)+(9+3i)= 1+6i +9+3i =\color{red}{1+9}\color{blue}{+6i +3i}=\color{red}{10}\color{blue}{+9i}\)
6. \((9+i)+(-9-i)= 9+i -9-i =\color{red}{9-9}\color{blue}{+i -i}=\color{red}{0}\)
7. \((-7+10i)+(-6-7i)= -7+10i -6-7i =\color{red}{-7-6}\color{blue}{+10i -7i}=\color{red}{-13}\color{blue}{+3i}\)
8. \((5+10i)+(-2+9i)= 5+10i -2+9i =\color{red}{5-2}\color{blue}{+10i +9i}=\color{red}{3}\color{blue}{+19i}\)
9. \((2+5i)-(8+8i)= 2+5i -8-8i =\color{red}{2-8}\color{blue}{+5i -8i}=\color{red}{-6}\color{blue}{-3i}\)
10. \((5+5i)+(6+6i)= 5+5i +6+6i =\color{red}{5+6}\color{blue}{+5i +6i}=\color{red}{11}\color{blue}{+11i}\)
11. \((-1+6i)-(9+6i)= -1+6i -9-6i =\color{red}{-1-9}\color{blue}{+6i -6i}=\color{red}{-10}\)
12. \((9-8i)-(6-i)= 9-8i -6+i =\color{red}{9-6}\color{blue}{-8i +i}=\color{red}{3}\color{blue}{-7i}\)