Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^{4}+90p^2x+81x^2\)
2. \(9a^{8}-84a^4+196\)
3. \(25p^{6}+80p^3+64\)
4. \(-49a^2+1\)
5. \(4p^{10}+52p^5y+169y^2\)
6. \(169x^2-256b^{6}\)
7. \(-196s^2+9\)
8. \(36y^{10}+12y^5+1\)
9. \(121b^{6}-16s^2\)
10. \(121q^{8}-176q^4y+64y^2\)
11. \(q^2-25\)
12. \(256p^{4}-96p^2q+9q^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^{4}+90p^2x+81x^2=(5p^2+9x)^2\)
2. \(9a^{8}-84a^4+196=(3a^4-14)^2\)
3. \(25p^{6}+80p^3+64=(5p^3+8)^2\)
4. \(-49a^2+1=(1-7a)(1+7a)\)
5. \(4p^{10}+52p^5y+169y^2=(2p^5+13y)^2\)
6. \(169x^2-256b^{6}=(13x-16b^3)(13x+16b^3)\)
7. \(-196s^2+9=(3-14s)(3+14s)\)
8. \(36y^{10}+12y^5+1=(6y^5+1)^2\)
9. \(121b^{6}-16s^2=(11b^3+4s)(11b^3-4s)\)
10. \(121q^{8}-176q^4y+64y^2=(11q^4-8y)^2\)
11. \(q^2-25=(q+5)(q-5)\)
12. \(256p^{4}-96p^2q+9q^2=(16p^2-3q)^2\)