Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(100a^{6}-60a^3+9\)
2. \(196a^{4}+420a^2b+225b^2\)
3. \(36p^2-1\)
4. \(121q^{6}+132q^3+36\)
5. \(169q^2-9p^{8}\)
6. \(b^2-49\)
7. \(q^2-225\)
8. \(121y^{4}-1\)
9. \(-196q^2+169\)
10. \(36a^{8}-132a^4p+121p^2\)
11. \(25s^{4}-40s^2y+16y^2\)
12. \(225p^{10}-420p^5y+196y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(100a^{6}-60a^3+9=(10a^3-3)^2\)
2. \(196a^{4}+420a^2b+225b^2=(14a^2+15b)^2\)
3. \(36p^2-1=(6p+1)(6p-1)\)
4. \(121q^{6}+132q^3+36=(11q^3+6)^2\)
5. \(169q^2-9p^{8}=(13q-3p^4)(13q+3p^4)\)
6. \(b^2-49=(b+7)(b-7)\)
7. \(q^2-225=(q+15)(q-15)\)
8. \(121y^{4}-1=(11y^2+1)(11y^2-1)\)
9. \(-196q^2+169=(13-14q)(13+14q)\)
10. \(36a^{8}-132a^4p+121p^2=(6a^4-11p)^2\)
11. \(25s^{4}-40s^2y+16y^2=(5s^2-4y)^2\)
12. \(225p^{10}-420p^5y+196y^2=(15p^5-14y)^2\)