Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-121q^2+64\)
2. \(x^2+6x+9\)
3. \(s^2-6s+9\)
4. \(225x^{8}-330x^4+121\)
5. \(196s^{8}+28s^4y+1y^2\)
6. \(169p^{8}+26p^4+1\)
7. \(121s^{4}+22s^2+1\)
8. \(49-16p^{4}\)
9. \(25x^{6}-120x^3+144\)
10. \(-144p^2+1\)
11. \(36x^{16}-25\)
12. \(16a^{4}-120a^2b+225b^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-121q^2+64=(8-11q)(8+11q)\)
2. \(x^2+6x+9=(x+3)^2\)
3. \(s^2-6s+9=(s-3)^2\)
4. \(225x^{8}-330x^4+121=(15x^4-11)^2\)
5. \(196s^{8}+28s^4y+1y^2=(14s^4+y)^2\)
6. \(169p^{8}+26p^4+1=(13p^4+1)^2\)
7. \(121s^{4}+22s^2+1=(11s^2+1)^2\)
8. \(49-16p^{4}=(7-4p^2)(7+4p^2)\)
9. \(25x^{6}-120x^3+144=(5x^3-12)^2\)
10. \(-144p^2+1=(1-12p)(1+12p)\)
11. \(36x^{16}-25=(6x^8+5)(6x^8-5)\)
12. \(16a^{4}-120a^2b+225b^2=(4a^2-15b)^2\)