Ontbinden in factoren (1)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9p^2+60p+100\)
2. \(9y^2-256p^{6}\)
3. \(121y^{4}-286y^2+169\)
4. \(256a^{14}-49x^2\)
5. \(144q^{8}-264q^4s+121s^2\)
6. \(16s^2-b^{4}\)
7. \(-49s^2+169\)
8. \(225b^{8}-60b^4q+4q^2\)
9. \(144a^{4}-49\)
10. \(9b^2-64\)
11. \(y^2-196\)
12. \(36y^2-121q^{14}\)

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Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9p^2+60p+100=(3p+10)^2\)
2. \(9y^2-256p^{6}=(3y-16p^3)(3y+16p^3)\)
3. \(121y^{4}-286y^2+169=(11y^2-13)^2\)
4. \(256a^{14}-49x^2=(16a^7+7x)(16a^7-7x)\)
5. \(144q^{8}-264q^4s+121s^2=(12q^4-11s)^2\)
6. \(16s^2-b^{4}=(4s-b^2)(4s+b^2)\)
7. \(-49s^2+169=(13-7s)(13+7s)\)
8. \(225b^{8}-60b^4q+4q^2=(15b^4-2q)^2\)
9. \(144a^{4}-49=(12a^2+7)(12a^2-7)\)
10. \(9b^2-64=(3b+8)(3b-8)\)
11. \(y^2-196=(y+14)(y-14)\)
12. \(36y^2-121q^{14}=(6y-11q^7)(6y+11q^7)\)