Ontbinden in factoren (2)

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

1. \(-6s^{6}+384s^{4}\)
2. \(-72b^{4}-120b^{3}-50b^{2}\)
3. \(-8q^{5}+2q^{3}\)
4. \(3b^{7}-3b^{5}\)
5. \(9x^{19}-49x^{3}\)
6. \(45p^{9}-150p^{6}y+125p^{3}y^2\)
7. \(64b^{7}+16b^{5}s+b^{3}s^2\)
8. \(-150b^{20}+6b^{4}\)
9. \(18s^{11}-24s^{7}x+8s^{3}x^2\)
10. \(-147y^{6}-336y^{5}-192y^{4}\)
11. \(6q^{7}-84q^{6}+294q^{5}\)
12. \(-5p^{7}+20p^{5}\)

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

Verbetersleutel

1. \(-6s^{6}+384s^{4}=-6s^{4}(s^2-64)=-6s^{4}(s+8)(s-8)\)
2. \(-72b^{4}-120b^{3}-50b^{2}=-2b^{2}(36b^{2}+60b+25)=-2b^{2}(6b+5)^2\)
3. \(-8q^{5}+2q^{3}=-2q^{3}(4q^{2}-1)=-2q^{3}(2q+1)(2q-1)\)
4. \(3b^{7}-3b^{5}=3b^{5}(b^2-1)=3b^{5}(b+1)(b-1)\)
5. \(9x^{19}-49x^{3}=x^{3}(9x^{16}-49)=x^{3}(3x^8+7)(3x^8-7)\)
6. \(45p^{9}-150p^{6}y+125p^{3}y^2=5p^{3}(9p^{6}-30p^3y+25y^2)=5p^{3}(3p^3-5y)^2\)
7. \(64b^{7}+16b^{5}s+b^{3}s^2=b^{3}(64b^{4}+16b^2s+s^2)=b^{3}(8b^2+s)^2\)
8. \(-150b^{20}+6b^{4}=-6b^{4}(25b^{16}-1)=-6b^{4}(5b^8+1)(5b^8-1)\)
9. \(18s^{11}-24s^{7}x+8s^{3}x^2=2s^{3}(9s^{8}-12s^4x+4x^2)=2s^{3}(3s^4-2x)^2\)
10. \(-147y^{6}-336y^{5}-192y^{4}=-3y^{4}(49y^{2}+112y+64)=-3y^{4}(7y+8)^2\)
11. \(6q^{7}-84q^{6}+294q^{5}=6q^{5}(q^2-14q+49)=6q^{5}(q-7)^2\)
12. \(-5p^{7}+20p^{5}=-5p^{5}(p^2-4)=-5p^{5}(p+2)(p-2)\)