Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256b^2-9\)
2. \(9s^{12}-196x^2\)
3. \(100s^2-q^{12}\)
4. \(81x^{6}+252x^3+196\)
5. \(256a^{12}-169p^2\)
6. \(25a^2-140a+196\)
7. \(36b^2-1\)
8. \(b^2-18b+81\)
9. \(196p^{8}-364p^4+169\)
10. \(q^2-22q+121\)
11. \(169p^{8}+182p^4+49\)
12. \(196y^{8}+252y^4+81\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256b^2-9=(16b+3)(16b-3)\)
2. \(9s^{12}-196x^2=(3s^6+14x)(3s^6-14x)\)
3. \(100s^2-q^{12}=(10s-q^6)(10s+q^6)\)
4. \(81x^{6}+252x^3+196=(9x^3+14)^2\)
5. \(256a^{12}-169p^2=(16a^6+13p)(16a^6-13p)\)
6. \(25a^2-140a+196=(5a-14)^2\)
7. \(36b^2-1=(6b+1)(6b-1)\)
8. \(b^2-18b+81=(b-9)^2\)
9. \(196p^{8}-364p^4+169=(14p^4-13)^2\)
10. \(q^2-22q+121=(q-11)^2\)
11. \(169p^{8}+182p^4+49=(13p^4+7)^2\)
12. \(196y^{8}+252y^4+81=(14y^4+9)^2\)