Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9x^{8}-12x^4+4\)
2. \(-256x^2+81\)
3. \(169y^2-256p^{8}\)
4. \(225s^2-1\)
5. \(81p^{10}-36p^5+4\)
6. \(-49x^2+121\)
7. \(16a^{10}-225x^2\)
8. \(256y^{8}-480y^4+225\)
9. \(s^2-36\)
10. \(64b^{12}-169y^2\)
11. \(-144x^2+169\)
12. \(100x^2-49s^{10}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9x^{8}-12x^4+4=(3x^4-2)^2\)
2. \(-256x^2+81=(9-16x)(9+16x)\)
3. \(169y^2-256p^{8}=(13y-16p^4)(13y+16p^4)\)
4. \(225s^2-1=(15s+1)(15s-1)\)
5. \(81p^{10}-36p^5+4=(9p^5-2)^2\)
6. \(-49x^2+121=(11-7x)(11+7x)\)
7. \(16a^{10}-225x^2=(4a^5+15x)(4a^5-15x)\)
8. \(256y^{8}-480y^4+225=(16y^4-15)^2\)
9. \(s^2-36=(s-6)(s+6)\)
10. \(64b^{12}-169y^2=(8b^6+13y)(8b^6-13y)\)
11. \(-144x^2+169=(13-12x)(13+12x)\)
12. \(100x^2-49s^{10}=(10x-7s^5)(10x+7s^5)\)