Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-196p^2+225\)
2. \(121x^{6}-9\)
3. \(49x^{6}+112x^3+64\)
4. \(256b^{14}-9s^2\)
5. \(36p^{6}-60p^3x+25x^2\)
6. \(64p^{12}-49\)
7. \(256y^{8}-160y^4+25\)
8. \(4p^2+4p+1\)
9. \(9a^{8}-121p^2\)
10. \(q^2-36\)
11. \(256x^{8}+32x^4+1\)
12. \(144q^{16}-169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-196p^2+225=(15-14p)(15+14p)\)
2. \(121x^{6}-9=(11x^3+3)(11x^3-3)\)
3. \(49x^{6}+112x^3+64=(7x^3+8)^2\)
4. \(256b^{14}-9s^2=(16b^7+3s)(16b^7-3s)\)
5. \(36p^{6}-60p^3x+25x^2=(6p^3-5x)^2\)
6. \(64p^{12}-49=(8p^6+7)(8p^6-7)\)
7. \(256y^{8}-160y^4+25=(16y^4-5)^2\)
8. \(4p^2+4p+1=(2p+1)^2\)
9. \(9a^{8}-121p^2=(3a^4+11p)(3a^4-11p)\)
10. \(q^2-36=(q+6)(q-6)\)
11. \(256x^{8}+32x^4+1=(16x^4+1)^2\)
12. \(144q^{16}-169=(12q^8+13)(12q^8-13)\)