Ontbinden in factoren (2)

Hoofdmenu Eentje per keer  🖨

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

1. \(-75b^{15}+3b^{5}\)
2. \(2s^{7}+28s^{6}+98s^{5}\)
3. \(-12y^{15}+147y^{5}\)
4. \(5s^{7}+40s^{6}+80s^{5}\)
5. \(128x^{10}+32x^{7}+2x^{4}\)
6. \(-5q^{7}+320q^{5}\)
7. \(27q^{13}-147q^{5}\)
8. \(-2q^{5}-4q^{4}-2q^{3}\)
9. \(80p^{21}-5p^{5}\)
10. \(147b^{10}-126b^{6}+27b^{2}\)
11. \(96y^{14}-294y^{2}\)
12. \(-125a^{6}-150a^{5}-45a^{4}\)

---

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

Verbetersleutel

1. \(-75b^{15}+3b^{5}=-3b^{5}(25b^{10}-1)=-3b^{5}(5b^5+1)(5b^5-1)\)
2. \(2s^{7}+28s^{6}+98s^{5}=2s^{5}(s^2+14s+49)=2s^{5}(s+7)^2\)
3. \(-12y^{15}+147y^{5}=-3y^{5}(4y^{10}-49)=-3y^{5}(2y^5+7)(2y^5-7)\)
4. \(5s^{7}+40s^{6}+80s^{5}=5s^{5}(s^2+8s+16)=5s^{5}(s+4)^2\)
5. \(128x^{10}+32x^{7}+2x^{4}=2x^{4}(64x^{6}+16x^3+1)=2x^{4}(8x^3+1)^2\)
6. \(-5q^{7}+320q^{5}=-5q^{5}(q^2-64)=-5q^{5}(q+8)(q-8)\)
7. \(27q^{13}-147q^{5}=3q^{5}(9q^{8}-49)=3q^{5}(3q^4+7)(3q^4-7)\)
8. \(-2q^{5}-4q^{4}-2q^{3}=-2q^{3}(q^2+2q+1)=-2q^{3}(q+1)^2\)
9. \(80p^{21}-5p^{5}=5p^{5}(16p^{16}-1)=5p^{5}(4p^8+1)(4p^8-1)\)
10. \(147b^{10}-126b^{6}+27b^{2}=3b^{2}(49b^{8}-42b^4+9)=3b^{2}(7b^4-3)^2\)
11. \(96y^{14}-294y^{2}=6y^{2}(16y^{12}-49)=6y^{2}(4y^6+7)(4y^6-7)\)
12. \(-125a^{6}-150a^{5}-45a^{4}=-5a^{4}(25a^{2}+30a+9)=-5a^{4}(5a+3)^2\)