Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(q^2-81\)
2. \(121y^{16}-36\)
3. \(-144p^2+49\)
4. \(100b^{8}+140b^4s+49s^2\)
5. \(p^2+10p+25\)
6. \(225a^2-1\)
7. \(81-196q^{10}\)
8. \(121p^2+220p+100\)
9. \(100p^{6}-169s^2\)
10. \(x^2-64\)
11. \(16y^{10}+40y^5+25\)
12. \(9s^2-25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(q^2-81=(q-9)(q+9)\)
2. \(121y^{16}-36=(11y^8+6)(11y^8-6)\)
3. \(-144p^2+49=(7-12p)(7+12p)\)
4. \(100b^{8}+140b^4s+49s^2=(10b^4+7s)^2\)
5. \(p^2+10p+25=(p+5)^2\)
6. \(225a^2-1=(15a+1)(15a-1)\)
7. \(81-196q^{10}=(9-14q^5)(9+14q^5)\)
8. \(121p^2+220p+100=(11p+10)^2\)
9. \(100p^{6}-169s^2=(10p^3+13s)(10p^3-13s)\)
10. \(x^2-64=(x-8)(x+8)\)
11. \(16y^{10}+40y^5+25=(4y^5+5)^2\)
12. \(9s^2-25=(3s+5)(3s-5)\)