Ontbinden in factoren (2)

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

1. \(128a^{6}+32a^{5}+2a^{4}\)
2. \(9x^{10}+24x^{7}+16x^{4}\)
3. \(5b^{5}-320b^{3}\)
4. \(18s^{13}+12s^{8}x+2s^{3}x^2\)
5. \(2a^{6}-32a^{4}\)
6. \(12s^{7}-147s^{5}\)
7. \(-20x^{6}+125x^{4}\)
8. \(-8q^{17}+98q^{5}\)
9. \(-96y^{5}+6y^{3}\)
10. \(2b^{6}+36b^{5}+162b^{4}\)
11. \(-5q^{7}+320q^{5}\)
12. \(27p^{5}-147p^{3}\)

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

Verbetersleutel

1. \(128a^{6}+32a^{5}+2a^{4}=2a^{4}(64a^{2}+16a+1)=2a^{4}(8a+1)^2\)
2. \(9x^{10}+24x^{7}+16x^{4}=x^{4}(9x^{6}+24x^3+16)=x^{4}(3x^3+4)^2\)
3. \(5b^{5}-320b^{3}=5b^{3}(b^2-64)=5b^{3}(b+8)(b-8)\)
4. \(18s^{13}+12s^{8}x+2s^{3}x^2=2s^{3}(9s^{10}+6s^5x+x^2)=2s^{3}(3s^5+x)^2\)
5. \(2a^{6}-32a^{4}=2a^{4}(a^2-16)=2a^{4}(a+4)(a-4)\)
6. \(12s^{7}-147s^{5}=3s^{5}(4s^{2}-49)=3s^{5}(2s+7)(2s-7)\)
7. \(-20x^{6}+125x^{4}=-5x^{4}(4x^{2}-25)=-5x^{4}(2x+5)(2x-5)\)
8. \(-8q^{17}+98q^{5}=-2q^{5}(4q^{12}-49)=-2q^{5}(2q^6+7)(2q^6-7)\)
9. \(-96y^{5}+6y^{3}=-6y^{3}(16y^{2}-1)=-6y^{3}(4y+1)(4y-1)\)
10. \(2b^{6}+36b^{5}+162b^{4}=2b^{4}(b^2+18b+81)=2b^{4}(b+9)^2\)
11. \(-5q^{7}+320q^{5}=-5q^{5}(q^2-64)=-5q^{5}(q-8)(q+8)\)
12. \(27p^{5}-147p^{3}=3p^{3}(9p^{2}-49)=3p^{3}(3p+7)(3p-7)\)