Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(x^2-100\)
2. \(4a^{6}+4a^3+1\)
3. \(256p^2-96p+9\)
4. \(x^2-24x+144\)
5. \(121s^{8}+264s^4y+144y^2\)
6. \(36s^{6}+156s^3+169\)
7. \(9q^2-4\)
8. \(196p^{8}-9\)
9. \(s^2-225\)
10. \(225b^{4}-420b^2+196\)
11. \(49q^{10}-1\)
12. \(36y^2-1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(x^2-100=(x+10)(x-10)\)
2. \(4a^{6}+4a^3+1=(2a^3+1)^2\)
3. \(256p^2-96p+9=(16p-3)^2\)
4. \(x^2-24x+144=(x-12)^2\)
5. \(121s^{8}+264s^4y+144y^2=(11s^4+12y)^2\)
6. \(36s^{6}+156s^3+169=(6s^3+13)^2\)
7. \(9q^2-4=(3q+2)(3q-2)\)
8. \(196p^{8}-9=(14p^4+3)(14p^4-3)\)
9. \(s^2-225=(s+15)(s-15)\)
10. \(225b^{4}-420b^2+196=(15b^2-14)^2\)
11. \(49q^{10}-1=(7q^5+1)(7q^5-1)\)
12. \(36y^2-1=(6y+1)(6y-1)\)