Ontbinden in factoren (2)

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

1. \(-2s^{4}+72s^{2}\)
2. \(-5p^{5}-50p^{4}-125p^{3}\)
3. \(-12p^{19}+3p^{5}\)
4. \(-150b^{14}+96b^{4}\)
5. \(147x^{14}+126x^{9}+27x^{4}\)
6. \(-32x^{21}+98x^{5}\)
7. \(-49a^{4}+28a^{3}-4a^{2}\)
8. \(5b^{7}-125b^{5}\)
9. \(5a^{4}+60a^{3}+180a^{2}\)
10. \(98q^{9}+140q^{6}+50q^{3}\)
11. \(54x^{12}-72x^{8}+24x^{4}\)
12. \(-384y^{7}-96y^{5}-6y^{3}\)

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

Verbetersleutel

1. \(-2s^{4}+72s^{2}=-2s^{2}(s^2-36)=-2s^{2}(s-6)(s+6)\)
2. \(-5p^{5}-50p^{4}-125p^{3}=-5p^{3}(p^2+10p+25)=-5p^{3}(p+5)^2\)
3. \(-12p^{19}+3p^{5}=-3p^{5}(4p^{14}-1)=-3p^{5}(2p^7+1)(2p^7-1)\)
4. \(-150b^{14}+96b^{4}=-6b^{4}(25b^{10}-16)=-6b^{4}(5b^5+4)(5b^5-4)\)
5. \(147x^{14}+126x^{9}+27x^{4}=3x^{4}(49x^{10}+42x^5+9)=3x^{4}(7x^5+3)^2\)
6. \(-32x^{21}+98x^{5}=-2x^{5}(16x^{16}-49)=-2x^{5}(4x^8+7)(4x^8-7)\)
7. \(-49a^{4}+28a^{3}-4a^{2}=-a^{2}(49a^{2}-28a+4)=-a^{2}(7a-2)^2\)
8. \(5b^{7}-125b^{5}=5b^{5}(b^2-25)=5b^{5}(b+5)(b-5)\)
9. \(5a^{4}+60a^{3}+180a^{2}=5a^{2}(a^2+12a+36)=5a^{2}(a+6)^2\)
10. \(98q^{9}+140q^{6}+50q^{3}=2q^{3}(49q^{6}+70q^3+25)=2q^{3}(7q^3+5)^2\)
11. \(54x^{12}-72x^{8}+24x^{4}=6x^{4}(9x^{8}-12x^4+4)=6x^{4}(3x^4-2)^2\)
12. \(-384y^{7}-96y^{5}-6y^{3}=-6y^{3}(64y^{4}+16y^2+1)=-6y^{3}(8y^2+1)^2\)