Ontbinden in factoren (2)

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

1. \(-98y^{9}-140y^{7}-50y^{5}\)
2. \(5q^{7}-45q^{5}\)
3. \(5s^{6}+60s^{5}+180s^{4}\)
4. \(64q^{4}+48q^{3}+9q^{2}\)
5. \(-2a^{6}-4a^{5}-2a^{4}\)
6. \(48x^{10}+24x^{7}+3x^{4}\)
7. \(q^{7}+18q^{6}+81q^{5}\)
8. \(20x^{21}-245x^{5}\)
9. \(-5y^{7}+320y^{5}\)
10. \(12s^{11}-3s^{3}\)
11. \(36y^{4}+12y^{3}+y^{2}\)
12. \(192q^{13}-336q^{8}+147q^{3}\)

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

Verbetersleutel

1. \(-98y^{9}-140y^{7}-50y^{5}=-2y^{5}(49y^{4}+70y^2+25)=-2y^{5}(7y^2+5)^2\)
2. \(5q^{7}-45q^{5}=5q^{5}(q^2-9)=5q^{5}(q-3)(q+3)\)
3. \(5s^{6}+60s^{5}+180s^{4}=5s^{4}(s^2+12s+36)=5s^{4}(s+6)^2\)
4. \(64q^{4}+48q^{3}+9q^{2}=q^{2}(64q^{2}+48q+9)=q^{2}(8q+3)^2\)
5. \(-2a^{6}-4a^{5}-2a^{4}=-2a^{4}(a^2+2a+1)=-2a^{4}(a+1)^2\)
6. \(48x^{10}+24x^{7}+3x^{4}=3x^{4}(16x^{6}+8x^3+1)=3x^{4}(4x^3+1)^2\)
7. \(q^{7}+18q^{6}+81q^{5}=q^{5}(q^2+18q+81)=q^{5}(q+9)^2\)
8. \(20x^{21}-245x^{5}=5x^{5}(4x^{16}-49)=5x^{5}(2x^8+7)(2x^8-7)\)
9. \(-5y^{7}+320y^{5}=-5y^{5}(y^2-64)=-5y^{5}(y-8)(y+8)\)
10. \(12s^{11}-3s^{3}=3s^{3}(4s^{8}-1)=3s^{3}(2s^4+1)(2s^4-1)\)
11. \(36y^{4}+12y^{3}+y^{2}=y^{2}(36y^{2}+12y+1)=y^{2}(6y+1)^2\)
12. \(192q^{13}-336q^{8}+147q^{3}=3q^{3}(64q^{10}-112q^5+49)=3q^{3}(8q^5-7)^2\)