Ontbinden in factoren (2)

Hoofdmenu Eentje per keer  🖨

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

1. \(98b^{7}+168b^{6}+72b^{5}\)
2. \(6b^{6}-150b^{4}\)
3. \(54a^{16}-6a^{4}\)
4. \(-48a^{12}+147a^{4}\)
5. \(b^{5}-49b^{3}\)
6. \(b^{4}-b^{2}\)
7. \(-9s^{7}-24s^{6}-16s^{5}\)
8. \(6b^{4}-54b^{2}\)
9. \(-8b^{7}-8b^{6}-2b^{5}\)
10. \(-2a^{6}+128a^{4}\)
11. \(150b^{5}-294b^{3}\)
12. \(-16a^{7}+24a^{6}-9a^{5}\)

---

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

Verbetersleutel

1. \(98b^{7}+168b^{6}+72b^{5}=2b^{5}(49b^{2}+84b+36)=2b^{5}(7b+6)^2\)
2. \(6b^{6}-150b^{4}=6b^{4}(b^2-25)=6b^{4}(b+5)(b-5)\)
3. \(54a^{16}-6a^{4}=6a^{4}(9a^{12}-1)=6a^{4}(3a^6+1)(3a^6-1)\)
4. \(-48a^{12}+147a^{4}=-3a^{4}(16a^{8}-49)=-3a^{4}(4a^4+7)(4a^4-7)\)
5. \(b^{5}-49b^{3}=b^{3}(b^2-49)=b^{3}(b+7)(b-7)\)
6. \(b^{4}-b^{2}=b^{2}(b^2-1)=b^{2}(b-1)(b+1)\)
7. \(-9s^{7}-24s^{6}-16s^{5}=-s^{5}(9s^{2}+24s+16)=-s^{5}(3s+4)^2\)
8. \(6b^{4}-54b^{2}=6b^{2}(b^2-9)=6b^{2}(b+3)(b-3)\)
9. \(-8b^{7}-8b^{6}-2b^{5}=-2b^{5}(4b^{2}+4b+1)=-2b^{5}(2b+1)^2\)
10. \(-2a^{6}+128a^{4}=-2a^{4}(a^2-64)=-2a^{4}(a-8)(a+8)\)
11. \(150b^{5}-294b^{3}=6b^{3}(25b^{2}-49)=6b^{3}(5b+7)(5b-7)\)
12. \(-16a^{7}+24a^{6}-9a^{5}=-a^{5}(16a^{2}-24a+9)=-a^{5}(4a-3)^2\)