Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256p^2-9\)
2. \(169b^{16}-4p^2\)
3. \(196a^{6}+28a^3y+1y^2\)
4. \(225p^{8}-60p^4y+4y^2\)
5. \(-25y^2+81\)
6. \(9s^2-121\)
7. \(36a^2-49\)
8. \(121b^{4}-352b^2x+256x^2\)
9. \(121-16p^{10}\)
10. \(81y^2-64\)
11. \(4q^{8}+60q^4y+225y^2\)
12. \(121a^{8}+330a^4q+225q^2\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256p^2-9=(16p+3)(16p-3)\)
2. \(169b^{16}-4p^2=(13b^8+2p)(13b^8-2p)\)
3. \(196a^{6}+28a^3y+1y^2=(14a^3+y)^2\)
4. \(225p^{8}-60p^4y+4y^2=(15p^4-2y)^2\)
5. \(-25y^2+81=(9-5y)(9+5y)\)
6. \(9s^2-121=(3s+11)(3s-11)\)
7. \(36a^2-49=(6a+7)(6a-7)\)
8. \(121b^{4}-352b^2x+256x^2=(11b^2-16x)^2\)
9. \(121-16p^{10}=(11-4p^5)(11+4p^5)\)
10. \(81y^2-64=(9y+8)(9y-8)\)
11. \(4q^{8}+60q^4y+225y^2=(2q^4+15y)^2\)
12. \(121a^{8}+330a^4q+225q^2=(11a^4+15q)^2\)