Optellen en aftrekken (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

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