Basisbewerkingen gemengd (a+bi)

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Bereken

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

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Bereken

Verbetersleutel

1. \((7+6i)+(-4-2i)= 7+6i -4-2i =\color{red}{7-4}\color{blue}{+6i -2i}=\color{red}{3}\color{blue}{+4i}\)
2. \((-2-3i)+(7-10i)= -2-3i +7-10i =\color{red}{-2+7}\color{blue}{-3i -10i}=\color{red}{5}\color{blue}{-13i}\)
3. \((2-8i)+(7-6i)= 2-8i +7-6i =\color{red}{2+7}\color{blue}{-8i -6i}=\color{red}{9}\color{blue}{-14i}\)
4. \((-4+9i) \cdot (-1+5i)= 4-20i -9 i+45i^2 = 4-20i -9 i-45= \color{red}{4-45}\color{blue}{-20i -9i}=\color{red}{-41}\color{blue}{-29i}\)
5. \((5-9i)\cdot (+4i)= +20 i-36i^2 = \color{red}{36}\color{blue}{+20i}\)
6. \((-4+4i) \cdot (3+8i)= -12-32i +12 i+32i^2 = -12-32i +12 i-32= \color{red}{-12-32}\color{blue}{-32i +12i}=\color{red}{-44}\color{blue}{-20i}\)
7. \((9-4i)+(5-3i)= 9-4i +5-3i =\color{red}{9+5}\color{blue}{-4i -3i}=\color{red}{14}\color{blue}{-7i}\)
8. \((-3i) \cdot (-5-10i)= +15 i+30i^2 = \color{red}{-30}\color{blue}{+15i}\)
9. \((-3i) \cdot (-8-6i)= +24 i+18i^2 = \color{red}{-18}\color{blue}{+24i}\)
10. \((-1-8i)-(6+5i)= -1-8i -6-5i =\color{red}{-1-6}\color{blue}{-8i -5i}=\color{red}{-7}\color{blue}{-13i}\)
11. \((-9-7i)-(8-6i)= -9-7i -8+6i =\color{red}{-9-8}\color{blue}{-7i +6i}=\color{red}{-17}\color{blue}{-i}\)
12. \((-6-8i)+(1-10i)= -6-8i +1-10i =\color{red}{-6+1}\color{blue}{-8i -10i}=\color{red}{-5}\color{blue}{-18i}\)