Basisbewerkingen gemengd (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((+5i) \cdot (-1-10i)= -5 i-50i^2 = \color{red}{50}\color{blue}{-5i}\)
2. \((8-i) \cdot (-3+7i)= -24+56i +3 i-7i^2 = -24+56i +3 i+7= \color{red}{-24+7}\color{blue}{+56i +3i}=\color{red}{-17}\color{blue}{+59i}\)
3. \((-5-7i)+(-2-5i)= -5-7i -2-5i =\color{red}{-5-2}\color{blue}{-7i -5i}=\color{red}{-7}\color{blue}{-12i}\)
4. \((9-10i)+(1-3i)= 9-10i +1-3i =\color{red}{9+1}\color{blue}{-10i -3i}=\color{red}{10}\color{blue}{-13i}\)
5. \((-10i) \cdot (-3+3i)= +30 i-30i^2 = \color{red}{30}\color{blue}{+30i}\)
6. \((6-4i) \cdot (8-5i)= 48-30i -32 i+20i^2 = 48-30i -32 i-20= \color{red}{48-20}\color{blue}{-30i -32i}=\color{red}{28}\color{blue}{-62i}\)
7. \((6-7i)+(1+9i)= 6-7i +1+9i =\color{red}{6+1}\color{blue}{-7i +9i}=\color{red}{7}\color{blue}{+2i}\)
8. \((7-7i)+(-8+8i)= 7-7i -8+8i =\color{red}{7-8}\color{blue}{-7i +8i}=\color{red}{-1}\color{blue}{+i}\)
9. \((1+2i) \cdot (-3+6i)= -3+6i -6 i+12i^2 = -3+6i -6 i-12= \color{red}{-3-12}\color{blue}{+6i -6i}=\color{red}{-15}\)
10. \((-5+10i) \cdot (-3-8i)= 15+40i -30 i-80i^2 = 15+40i -30 i+80= \color{red}{15+80}\color{blue}{+40i -30i}=\color{red}{95}\color{blue}{+10i}\)
11. \((-7i) \cdot (-1+i)= +7 i-7i^2 = \color{red}{7}\color{blue}{+7i}\)
12. \((-4+8i)\cdot (-10i)= +40 i-80i^2 = \color{red}{80}\color{blue}{+40i}\)