Ontbinden in factoren (2)

Hoofdmenu Eentje per keer  🖨

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

1. \(216b^{13}+72b^{8}+6b^{3}\)
2. \(-128x^{4}+224x^{3}-98x^{2}\)
3. \(-18y^{6}+60y^{5}-50y^{4}\)
4. \(-49a^{13}-84a^{9}q-36a^{5}q^2\)
5. \(-245b^{11}+420b^{7}q-180b^{3}q^2\)
6. \(-49q^{12}-56q^{7}-16q^{2}\)
7. \(6q^{6}+24q^{5}+24q^{4}\)
8. \(20y^{9}-245y^{5}\)
9. \(320p^{12}-400p^{8}y+125p^{4}y^2\)
10. \(-8q^{11}-24q^{7}y-18q^{3}y^2\)
11. \(-32s^{6}-80s^{5}-50s^{4}\)
12. \(9x^{4}+6x^{3}+x^{2}\)

---

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

Verbetersleutel

1. \(216b^{13}+72b^{8}+6b^{3}=6b^{3}(36b^{10}+12b^5+1)=6b^{3}(6b^5+1)^2\)
2. \(-128x^{4}+224x^{3}-98x^{2}=-2x^{2}(64x^{2}-112x+49)=-2x^{2}(8x-7)^2\)
3. \(-18y^{6}+60y^{5}-50y^{4}=-2y^{4}(9y^{2}-30y+25)=-2y^{4}(3y-5)^2\)
4. \(-49a^{13}-84a^{9}q-36a^{5}q^2=-a^{5}(49a^{8}+84a^4q+36q^2)=-a^{5}(7a^4+6q)^2\)
5. \(-245b^{11}+420b^{7}q-180b^{3}q^2=-5b^{3}(49b^{8}-84b^4q+36q^2)=-5b^{3}(7b^4-6q)^2\)
6. \(-49q^{12}-56q^{7}-16q^{2}=-q^{2}(49q^{10}+56q^5+16)=-q^{2}(7q^5+4)^2\)
7. \(6q^{6}+24q^{5}+24q^{4}=6q^{4}(q^2+4q+4)=6q^{4}(q+2)^2\)
8. \(20y^{9}-245y^{5}=5y^{5}(4y^{4}-49)=5y^{5}(2y^2+7)(2y^2-7)\)
9. \(320p^{12}-400p^{8}y+125p^{4}y^2=5p^{4}(64p^{8}-80p^4y+25y^2)=5p^{4}(8p^4-5y)^2\)
10. \(-8q^{11}-24q^{7}y-18q^{3}y^2=-2q^{3}(4q^{8}+12q^4y+9y^2)=-2q^{3}(2q^4+3y)^2\)
11. \(-32s^{6}-80s^{5}-50s^{4}=-2s^{4}(16s^{2}+40s+25)=-2s^{4}(4s+5)^2\)
12. \(9x^{4}+6x^{3}+x^{2}=x^{2}(9x^{2}+6x+1)=x^{2}(3x+1)^2\)