Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81q^2-196p^{12}\)
2. \(256s^{4}-480s^2y+225y^2\)
3. \(100p^{4}-81\)
4. \(81y^2+72y+16\)
5. \(64a^{6}-121b^2\)
6. \(49s^{4}-140s^2y+100y^2\)
7. \(-121b^2+16\)
8. \(b^2-100\)
9. \(169a^{14}-225y^2\)
10. \(36x^{14}-25\)
11. \(-4y^2+1\)
12. \(a^2-49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81q^2-196p^{12}=(9q-14p^6)(9q+14p^6)\)
2. \(256s^{4}-480s^2y+225y^2=(16s^2-15y)^2\)
3. \(100p^{4}-81=(10p^2+9)(10p^2-9)\)
4. \(81y^2+72y+16=(9y+4)^2\)
5. \(64a^{6}-121b^2=(8a^3+11b)(8a^3-11b)\)
6. \(49s^{4}-140s^2y+100y^2=(7s^2-10y)^2\)
7. \(-121b^2+16=(4-11b)(4+11b)\)
8. \(b^2-100=(b-10)(b+10)\)
9. \(169a^{14}-225y^2=(13a^7+15y)(13a^7-15y)\)
10. \(36x^{14}-25=(6x^7+5)(6x^7-5)\)
11. \(-4y^2+1=(1-2y)(1+2y)\)
12. \(a^2-49=(a-7)(a+7)\)