Ontbinden in factoren (2)

Hoofdmenu Eentje per keer  🖨

Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.

1. \(2s^{7}-50s^{5}\)
2. \(-q^{5}+36q^{3}\)
3. \(-54s^{7}-72s^{5}-24s^{3}\)
4. \(-16a^{11}-8a^{7}-a^{3}\)
5. \(216q^{5}-294q^{3}\)
6. \(16q^{6}-q^{4}\)
7. \(-216a^{8}-72a^{5}-6a^{2}\)
8. \(18x^{18}-32x^{4}\)
9. \(-294a^{6}+252a^{5}-54a^{4}\)
10. \(-6q^{6}+216q^{4}\)
11. \(32q^{5}-18q^{3}\)
12. \(-16s^{5}+49s^{3}\)

---

Zonder de gemeenschappelijke factor af. Ontbind verder in factoren indien mogelijk.

Verbetersleutel

1. \(2s^{7}-50s^{5}=2s^{5}(s^2-25)=2s^{5}(s+5)(s-5)\)
2. \(-q^{5}+36q^{3}=-q^{3}(q^2-36)=-q^{3}(q+6)(q-6)\)
3. \(-54s^{7}-72s^{5}-24s^{3}=-6s^{3}(9s^{4}+12s^2+4)=-6s^{3}(3s^2+2)^2\)
4. \(-16a^{11}-8a^{7}-a^{3}=-a^{3}(16a^{8}+8a^4+1)=-a^{3}(4a^4+1)^2\)
5. \(216q^{5}-294q^{3}=6q^{3}(36q^{2}-49)=6q^{3}(6q+7)(6q-7)\)
6. \(16q^{6}-q^{4}=q^{4}(16q^{2}-1)=q^{4}(4q+1)(4q-1)\)
7. \(-216a^{8}-72a^{5}-6a^{2}=-6a^{2}(36a^{6}+12a^3+1)=-6a^{2}(6a^3+1)^2\)
8. \(18x^{18}-32x^{4}=2x^{4}(9x^{14}-16)=2x^{4}(3x^7+4)(3x^7-4)\)
9. \(-294a^{6}+252a^{5}-54a^{4}=-6a^{4}(49a^{2}-42a+9)=-6a^{4}(7a-3)^2\)
10. \(-6q^{6}+216q^{4}=-6q^{4}(q^2-36)=-6q^{4}(q-6)(q+6)\)
11. \(32q^{5}-18q^{3}=2q^{3}(16q^{2}-9)=2q^{3}(4q+3)(4q-3)\)
12. \(-16s^{5}+49s^{3}=-s^{3}(16s^{2}-49)=-s^{3}(4s+7)(4s-7)\)