Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-16s^{10}\)
2. \(16b^{4}-24b^2y+9y^2\)
3. \(4a^{14}-121b^2\)
4. \(p^2-18p+81\)
5. \(b^2-6b+9\)
6. \(169a^{4}+312a^2x+144x^2\)
7. \(121p^2-144b^{12}\)
8. \(196a^{6}-364a^3+169\)
9. \(144a^{4}-1\)
10. \(16s^2+88s+121\)
11. \(121y^{6}-64\)
12. \(100p^{14}-1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-16s^{10}=(3-4s^5)(3+4s^5)\)
2. \(16b^{4}-24b^2y+9y^2=(4b^2-3y)^2\)
3. \(4a^{14}-121b^2=(2a^7+11b)(2a^7-11b)\)
4. \(p^2-18p+81=(p-9)^2\)
5. \(b^2-6b+9=(b-3)^2\)
6. \(169a^{4}+312a^2x+144x^2=(13a^2+12x)^2\)
7. \(121p^2-144b^{12}=(11p-12b^6)(11p+12b^6)\)
8. \(196a^{6}-364a^3+169=(14a^3-13)^2\)
9. \(144a^{4}-1=(12a^2+1)(12a^2-1)\)
10. \(16s^2+88s+121=(4s+11)^2\)
11. \(121y^{6}-64=(11y^3+8)(11y^3-8)\)
12. \(100p^{14}-1=(10p^7+1)(10p^7-1)\)