Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196x^{4}-308x^2+121\)
2. \(49q^{8}-42q^4+9\)
3. \(225b^2-1\)
4. \(-144s^2+121\)
5. \(144b^{8}+120b^4x+25x^2\)
6. \(144p^{4}-25\)
7. \(196p^2+252p+81\)
8. \(p^2-100\)
9. \(q^2-2q+1\)
10. \(64p^{10}+16p^5x+1x^2\)
11. \(9p^{4}-12p^2+4\)
12. \(1-36a^{10}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196x^{4}-308x^2+121=(14x^2-11)^2\)
2. \(49q^{8}-42q^4+9=(7q^4-3)^2\)
3. \(225b^2-1=(15b+1)(15b-1)\)
4. \(-144s^2+121=(11-12s)(11+12s)\)
5. \(144b^{8}+120b^4x+25x^2=(12b^4+5x)^2\)
6. \(144p^{4}-25=(12p^2+5)(12p^2-5)\)
7. \(196p^2+252p+81=(14p+9)^2\)
8. \(p^2-100=(p+10)(p-10)\)
9. \(q^2-2q+1=(q-1)^2\)
10. \(64p^{10}+16p^5x+1x^2=(8p^5+x)^2\)
11. \(9p^{4}-12p^2+4=(3p^2-2)^2\)
12. \(1-36a^{10}=(1-6a^5)(1+6a^5)\)