Ontbinden in factoren (2)

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

1. \(-147y^{6}-168y^{5}-48y^{4}\)
2. \(-50q^{4}+8q^{2}\)
3. \(32s^{5}-2s^{3}\)
4. \(72p^{4}-98p^{2}\)
5. \(-36y^{7}-12y^{5}-y^{3}\)
6. \(-4p^{4}+9p^{2}\)
7. \(96s^{5}+48s^{4}+6s^{3}\)
8. \(24p^{13}+24p^{8}q+6p^{3}q^2\)
9. \(-12q^{4}+3q^{2}\)
10. \(192a^{10}+48a^{6}q+3a^{2}q^2\)
11. \(48s^{5}-75s^{3}\)
12. \(96s^{13}+144s^{9}x+54s^{5}x^2\)

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

Verbetersleutel

1. \(-147y^{6}-168y^{5}-48y^{4}=-3y^{4}(49y^{2}+56y+16)=-3y^{4}(7y+4)^2\)
2. \(-50q^{4}+8q^{2}=-2q^{2}(25q^{2}-4)=-2q^{2}(5q+2)(5q-2)\)
3. \(32s^{5}-2s^{3}=2s^{3}(16s^{2}-1)=2s^{3}(4s+1)(4s-1)\)
4. \(72p^{4}-98p^{2}=2p^{2}(36p^{2}-49)=2p^{2}(6p+7)(6p-7)\)
5. \(-36y^{7}-12y^{5}-y^{3}=-y^{3}(36y^{4}+12y^2+1)=-y^{3}(6y^2+1)^2\)
6. \(-4p^{4}+9p^{2}=-p^{2}(4p^{2}-9)=-p^{2}(2p+3)(2p-3)\)
7. \(96s^{5}+48s^{4}+6s^{3}=6s^{3}(16s^{2}+8s+1)=6s^{3}(4s+1)^2\)
8. \(24p^{13}+24p^{8}q+6p^{3}q^2=6p^{3}(4p^{10}+4p^5q+q^2)=6p^{3}(2p^5+q)^2\)
9. \(-12q^{4}+3q^{2}=-3q^{2}(4q^{2}-1)=-3q^{2}(2q+1)(2q-1)\)
10. \(192a^{10}+48a^{6}q+3a^{2}q^2=3a^{2}(64a^{8}+16a^4q+q^2)=3a^{2}(8a^4+q)^2\)
11. \(48s^{5}-75s^{3}=3s^{3}(16s^{2}-25)=3s^{3}(4s+5)(4s-5)\)
12. \(96s^{13}+144s^{9}x+54s^{5}x^2=6s^{5}(16s^{8}+24s^4x+9x^2)=6s^{5}(4s^4+3x)^2\)