Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121x^2-s^{12}\)
2. \(9q^{8}-16x^2\)
3. \(225y^{14}-16\)
4. \(100a^2-180a+81\)
5. \(q^2+20q+100\)
6. \(25y^{10}+90y^5+81\)
7. \(y^2-24y+144\)
8. \(81-4x^{8}\)
9. \(-256s^2+1\)
10. \(q^2-9\)
11. \(121p^{16}-49s^2\)
12. \(196y^{10}-225\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121x^2-s^{12}=(11x-s^6)(11x+s^6)\)
2. \(9q^{8}-16x^2=(3q^4+4x)(3q^4-4x)\)
3. \(225y^{14}-16=(15y^7+4)(15y^7-4)\)
4. \(100a^2-180a+81=(10a-9)^2\)
5. \(q^2+20q+100=(q+10)^2\)
6. \(25y^{10}+90y^5+81=(5y^5+9)^2\)
7. \(y^2-24y+144=(y-12)^2\)
8. \(81-4x^{8}=(9-2x^4)(9+2x^4)\)
9. \(-256s^2+1=(1-16s)(1+16s)\)
10. \(q^2-9=(q+3)(q-3)\)
11. \(121p^{16}-49s^2=(11p^8+7s)(11p^8-7s)\)
12. \(196y^{10}-225=(14y^5+15)(14y^5-15)\)