Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49s^{6}-224s^3+256\)
2. \(25y^{10}-81\)
3. \(p^2-100\)
4. \(49b^{4}-84b^2p+36p^2\)
5. \(64x^{4}-225\)
6. \(a^2-49\)
7. \(49s^{8}+182s^4+169\)
8. \(144a^{6}+168a^3+49\)
9. \(s^2-12s+36\)
10. \(-196s^2+1\)
11. \(169y^2-16b^{16}\)
12. \(9s^{4}-25\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49s^{6}-224s^3+256=(7s^3-16)^2\)
2. \(25y^{10}-81=(5y^5+9)(5y^5-9)\)
3. \(p^2-100=(p-10)(p+10)\)
4. \(49b^{4}-84b^2p+36p^2=(7b^2-6p)^2\)
5. \(64x^{4}-225=(8x^2+15)(8x^2-15)\)
6. \(a^2-49=(a-7)(a+7)\)
7. \(49s^{8}+182s^4+169=(7s^4+13)^2\)
8. \(144a^{6}+168a^3+49=(12a^3+7)^2\)
9. \(s^2-12s+36=(s-6)^2\)
10. \(-196s^2+1=(1-14s)(1+14s)\)
11. \(169y^2-16b^{16}=(13y-4b^8)(13y+4b^8)\)
12. \(9s^{4}-25=(3s^2+5)(3s^2-5)\)