Ontbinden in factoren (2)

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

1. \(72b^{7}-98b^{5}\)
2. \(-16a^{6}+56a^{5}-49a^{4}\)
3. \(50s^{9}-2s^{5}\)
4. \(-4s^{11}-4s^{7}x-s^{3}x^2\)
5. \(-5b^{5}-50b^{4}-125b^{3}\)
6. \(-108b^{4}+75b^{2}\)
7. \(-180b^{4}+245b^{2}\)
8. \(5s^{5}+70s^{4}+245s^{3}\)
9. \(-12x^{4}-84x^{3}-147x^{2}\)
10. \(48q^{6}-3q^{4}\)
11. \(-5p^{7}+125p^{5}\)
12. \(2s^{4}-128s^{2}\)

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

Verbetersleutel

1. \(72b^{7}-98b^{5}=2b^{5}(36b^{2}-49)=2b^{5}(6b+7)(6b-7)\)
2. \(-16a^{6}+56a^{5}-49a^{4}=-a^{4}(16a^{2}-56a+49)=-a^{4}(4a-7)^2\)
3. \(50s^{9}-2s^{5}=2s^{5}(25s^{4}-1)=2s^{5}(5s^2+1)(5s^2-1)\)
4. \(-4s^{11}-4s^{7}x-s^{3}x^2=-s^{3}(4s^{8}+4s^4x+x^2)=-s^{3}(2s^4+x)^2\)
5. \(-5b^{5}-50b^{4}-125b^{3}=-5b^{3}(b^2+10b+25)=-5b^{3}(b+5)^2\)
6. \(-108b^{4}+75b^{2}=-3b^{2}(36b^{2}-25)=-3b^{2}(6b+5)(6b-5)\)
7. \(-180b^{4}+245b^{2}=-5b^{2}(36b^{2}-49)=-5b^{2}(6b+7)(6b-7)\)
8. \(5s^{5}+70s^{4}+245s^{3}=5s^{3}(s^2+14s+49)=5s^{3}(s+7)^2\)
9. \(-12x^{4}-84x^{3}-147x^{2}=-3x^{2}(4x^{2}+28x+49)=-3x^{2}(2x+7)^2\)
10. \(48q^{6}-3q^{4}=3q^{4}(16q^{2}-1)=3q^{4}(4q+1)(4q-1)\)
11. \(-5p^{7}+125p^{5}=-5p^{5}(p^2-25)=-5p^{5}(p+5)(p-5)\)
12. \(2s^{4}-128s^{2}=2s^{2}(s^2-64)=2s^{2}(s+8)(s-8)\)