Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81x^2-16q^{8}\)
2. \(121s^2-196b^{6}\)
3. \(121q^{8}-220q^4+100\)
4. \(9p^{4}-84p^2+196\)
5. \(81-121s^{4}\)
6. \(256q^{4}-160q^2+25\)
7. \(q^2+10q+25\)
8. \(49q^2+42q+9\)
9. \(81-25y^{8}\)
10. \(-144q^2+169\)
11. \(100q^2-81\)
12. \(4s^{8}+28s^4y+49y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81x^2-16q^{8}=(9x-4q^4)(9x+4q^4)\)
2. \(121s^2-196b^{6}=(11s-14b^3)(11s+14b^3)\)
3. \(121q^{8}-220q^4+100=(11q^4-10)^2\)
4. \(9p^{4}-84p^2+196=(3p^2-14)^2\)
5. \(81-121s^{4}=(9-11s^2)(9+11s^2)\)
6. \(256q^{4}-160q^2+25=(16q^2-5)^2\)
7. \(q^2+10q+25=(q+5)^2\)
8. \(49q^2+42q+9=(7q+3)^2\)
9. \(81-25y^{8}=(9-5y^4)(9+5y^4)\)
10. \(-144q^2+169=(13-12q)(13+12q)\)
11. \(100q^2-81=(10q+9)(10q-9)\)
12. \(4s^{8}+28s^4y+49y^2=(2s^4+7y)^2\)