Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^{8}+110q^4y+121y^2\)
2. \(121b^{6}-225q^2\)
3. \(p^2-169\)
4. \(16a^{4}+24a^2+9\)
5. \(25x^{16}-4\)
6. \(s^2-49\)
7. \(256p^{8}+352p^4s+121s^2\)
8. \(36a^{8}+132a^4+121\)
9. \(x^2-2x+1\)
10. \(169-64y^{16}\)
11. \(9x^{8}-66x^4+121\)
12. \(81s^2-4a^{6}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^{8}+110q^4y+121y^2=(5q^4+11y)^2\)
2. \(121b^{6}-225q^2=(11b^3+15q)(11b^3-15q)\)
3. \(p^2-169=(p-13)(p+13)\)
4. \(16a^{4}+24a^2+9=(4a^2+3)^2\)
5. \(25x^{16}-4=(5x^8+2)(5x^8-2)\)
6. \(s^2-49=(s+7)(s-7)\)
7. \(256p^{8}+352p^4s+121s^2=(16p^4+11s)^2\)
8. \(36a^{8}+132a^4+121=(6a^4+11)^2\)
9. \(x^2-2x+1=(x-1)^2\)
10. \(169-64y^{16}=(13-8y^8)(13+8y^8)\)
11. \(9x^{8}-66x^4+121=(3x^4-11)^2\)
12. \(81s^2-4a^{6}=(9s-2a^3)(9s+2a^3)\)