Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-10b+25\)
2. \(x^2-1\)
3. \(b^2+26b+169\)
4. \(169y^{14}-196\)
5. \(9x^2-84x+196\)
6. \(100q^2-1\)
7. \(196y^2-364y+169\)
8. \(225-49b^{14}\)
9. \(64a^{16}-225p^2\)
10. \(121b^{8}-44b^4s+4s^2\)
11. \(256a^{6}-288a^3x+81x^2\)
12. \(s^2-100\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-10b+25=(b-5)^2\)
2. \(x^2-1=(x-1)(x+1)\)
3. \(b^2+26b+169=(b+13)^2\)
4. \(169y^{14}-196=(13y^7+14)(13y^7-14)\)
5. \(9x^2-84x+196=(3x-14)^2\)
6. \(100q^2-1=(10q+1)(10q-1)\)
7. \(196y^2-364y+169=(14y-13)^2\)
8. \(225-49b^{14}=(15-7b^7)(15+7b^7)\)
9. \(64a^{16}-225p^2=(8a^8+15p)(8a^8-15p)\)
10. \(121b^{8}-44b^4s+4s^2=(11b^4-2s)^2\)
11. \(256a^{6}-288a^3x+81x^2=(16a^3-9x)^2\)
12. \(s^2-100=(s-10)(s+10)\)