Basisbewerkingen gemengd (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((-4-3i) \cdot (2-i)= -8+4i -6 i+3i^2 = -8+4i -6 i-3= \color{red}{-8-3}\color{blue}{+4i -6i}=\color{red}{-11}\color{blue}{-2i}\)
2. \((-6-i)\cdot (+8i)= -48 i-8i^2 = \color{red}{8}\color{blue}{-48i}\)
3. \((-4+5i) \cdot (6-6i)= -24+24i +30 i-30i^2 = -24+24i +30 i+30= \color{red}{-24+30}\color{blue}{+24i +30i}=\color{red}{6}\color{blue}{+54i}\)
4. \((5-9i)-(10+5i)= 5-9i -10-5i =\color{red}{5-10}\color{blue}{-9i -5i}=\color{red}{-5}\color{blue}{-14i}\)
5. \((-2+7i) \cdot (-9+9i)= 18-18i -63 i+63i^2 = 18-18i -63 i-63= \color{red}{18-63}\color{blue}{-18i -63i}=\color{red}{-45}\color{blue}{-81i}\)
6. \((-8+10i)\cdot (+8i)= -64 i+80i^2 = \color{red}{-80}\color{blue}{-64i}\)
7. \((7-10i)+(2-3i)= 7-10i +2-3i =\color{red}{7+2}\color{blue}{-10i -3i}=\color{red}{9}\color{blue}{-13i}\)
8. \((-5-6i)+(-10+i)= -5-6i -10+i =\color{red}{-5-10}\color{blue}{-6i +i}=\color{red}{-15}\color{blue}{-5i}\)
9. \((-8+6i)\cdot (-9i)= +72 i-54i^2 = \color{red}{54}\color{blue}{+72i}\)
10. \((-6-7i)+(9+10i)= -6-7i +9+10i =\color{red}{-6+9}\color{blue}{-7i +10i}=\color{red}{3}\color{blue}{+3i}\)
11. \((-5+7i) \cdot (9-6i)= -45+30i +63 i-42i^2 = -45+30i +63 i+42= \color{red}{-45+42}\color{blue}{+30i +63i}=\color{red}{-3}\color{blue}{+93i}\)
12. \((9-5i)-(-10-10i)= 9-5i +10+10i =\color{red}{9+10}\color{blue}{-5i +10i}=\color{red}{19}\color{blue}{+5i}\)