Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(64s^{8}-225\)
2. \(144-49s^{4}\)
3. \(q^2-8q+16\)
4. \(225q^2-420q+196\)
5. \(121x^2-25\)
6. \(64p^{6}+16p^3+1\)
7. \(25s^{10}-120s^5+144\)
8. \(25y^{4}+120y^2+144\)
9. \(q^2-1\)
10. \(196a^{6}-121x^2\)
11. \(-81a^2+25\)
12. \(4x^{4}+20x^2+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(64s^{8}-225=(8s^4+15)(8s^4-15)\)
2. \(144-49s^{4}=(12-7s^2)(12+7s^2)\)
3. \(q^2-8q+16=(q-4)^2\)
4. \(225q^2-420q+196=(15q-14)^2\)
5. \(121x^2-25=(11x+5)(11x-5)\)
6. \(64p^{6}+16p^3+1=(8p^3+1)^2\)
7. \(25s^{10}-120s^5+144=(5s^5-12)^2\)
8. \(25y^{4}+120y^2+144=(5y^2+12)^2\)
9. \(q^2-1=(q+1)(q-1)\)
10. \(196a^{6}-121x^2=(14a^3+11x)(14a^3-11x)\)
11. \(-81a^2+25=(5-9a)(5+9a)\)
12. \(4x^{4}+20x^2+25=(2x^2+5)^2\)