Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-1\)
2. \(q^2-16\)
3. \(64a^{10}-80a^5+25\)
4. \(100b^{4}-81\)
5. \(256b^{4}+480b^2p+225p^2\)
6. \(a^2-16a+64\)
7. \(121q^{4}+308q^2+196\)
8. \(9y^2-12y+4\)
9. \(81s^{8}+18s^4+1\)
10. \(4q^{6}+4q^3+1\)
11. \(49b^{8}+70b^4+25\)
12. \(-100y^2+121\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-1=(y-1)(y+1)\)
2. \(q^2-16=(q-4)(q+4)\)
3. \(64a^{10}-80a^5+25=(8a^5-5)^2\)
4. \(100b^{4}-81=(10b^2+9)(10b^2-9)\)
5. \(256b^{4}+480b^2p+225p^2=(16b^2+15p)^2\)
6. \(a^2-16a+64=(a-8)^2\)
7. \(121q^{4}+308q^2+196=(11q^2+14)^2\)
8. \(9y^2-12y+4=(3y-2)^2\)
9. \(81s^{8}+18s^4+1=(9s^4+1)^2\)
10. \(4q^{6}+4q^3+1=(2q^3+1)^2\)
11. \(49b^{8}+70b^4+25=(7b^4+5)^2\)
12. \(-100y^2+121=(11-10y)(11+10y)\)