Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144a^2-1\)
2. \(x^2+28x+196\)
3. \(225x^2-169a^{4}\)
4. \(121x^2-64\)
5. \(196a^{10}-364a^5b+169b^2\)
6. \(-16s^2+121\)
7. \(p^2+14p+49\)
8. \(81q^2-1\)
9. \(169b^{4}+234b^2p+81p^2\)
10. \(y^2-25\)
11. \(121q^2-352q+256\)
12. \(144x^{10}+120x^5+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144a^2-1=(12a+1)(12a-1)\)
2. \(x^2+28x+196=(x+14)^2\)
3. \(225x^2-169a^{4}=(15x-13a^2)(15x+13a^2)\)
4. \(121x^2-64=(11x+8)(11x-8)\)
5. \(196a^{10}-364a^5b+169b^2=(14a^5-13b)^2\)
6. \(-16s^2+121=(11-4s)(11+4s)\)
7. \(p^2+14p+49=(p+7)^2\)
8. \(81q^2-1=(9q+1)(9q-1)\)
9. \(169b^{4}+234b^2p+81p^2=(13b^2+9p)^2\)
10. \(y^2-25=(y-5)(y+5)\)
11. \(121q^2-352q+256=(11q-16)^2\)
12. \(144x^{10}+120x^5+25=(12x^5+5)^2\)