Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121p^{6}-110p^3x+25x^2\)
2. \(9s^2-16q^{10}\)
3. \(b^2-49\)
4. \(25x^{8}-1\)
5. \(81q^2-234q+169\)
6. \(s^2-1\)
7. \(9s^2-4p^{6}\)
8. \(-16p^2+49\)
9. \(1-225y^{4}\)
10. \(25s^{6}-64\)
11. \(256b^{6}-288b^3x+81x^2\)
12. \(s^2-36\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121p^{6}-110p^3x+25x^2=(11p^3-5x)^2\)
2. \(9s^2-16q^{10}=(3s-4q^5)(3s+4q^5)\)
3. \(b^2-49=(b-7)(b+7)\)
4. \(25x^{8}-1=(5x^4+1)(5x^4-1)\)
5. \(81q^2-234q+169=(9q-13)^2\)
6. \(s^2-1=(s-1)(s+1)\)
7. \(9s^2-4p^{6}=(3s-2p^3)(3s+2p^3)\)
8. \(-16p^2+49=(7-4p)(7+4p)\)
9. \(1-225y^{4}=(1-15y^2)(1+15y^2)\)
10. \(25s^{6}-64=(5s^3+8)(5s^3-8)\)
11. \(256b^{6}-288b^3x+81x^2=(16b^3-9x)^2\)
12. \(s^2-36=(s+6)(s-6)\)