Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256x^{4}+480x^2+225\)
2. \(-81a^2+121\)
3. \(y^2+14y+49\)
4. \(196q^{10}-308q^5s+121s^2\)
5. \(-225x^2+1\)
6. \(9b^{10}+48b^5y+64y^2\)
7. \(100p^2-9\)
8. \(169q^2-1\)
9. \(49p^{6}+42p^3x+9x^2\)
10. \(p^2-64\)
11. \(9y^2-196x^{4}\)
12. \(144a^{4}-168a^2+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256x^{4}+480x^2+225=(16x^2+15)^2\)
2. \(-81a^2+121=(11-9a)(11+9a)\)
3. \(y^2+14y+49=(y+7)^2\)
4. \(196q^{10}-308q^5s+121s^2=(14q^5-11s)^2\)
5. \(-225x^2+1=(1-15x)(1+15x)\)
6. \(9b^{10}+48b^5y+64y^2=(3b^5+8y)^2\)
7. \(100p^2-9=(10p+3)(10p-3)\)
8. \(169q^2-1=(13q+1)(13q-1)\)
9. \(49p^{6}+42p^3x+9x^2=(7p^3+3x)^2\)
10. \(p^2-64=(p+8)(p-8)\)
11. \(9y^2-196x^{4}=(3y-14x^2)(3y+14x^2)\)
12. \(144a^{4}-168a^2+49=(12a^2-7)^2\)