Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-16\)
2. \(9q^{4}+60q^2x+100x^2\)
3. \(64s^{8}+144s^4y+81y^2\)
4. \(121p^{4}-144\)
5. \(-4p^2+9\)
6. \(121x^2+22x+1\)
7. \(256b^2-1\)
8. \(p^2-4p+4\)
9. \(q^2+4q+4\)
10. \(81a^2-25\)
11. \(4p^2-225\)
12. \(49q^2-144b^{4}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-16=(b-4)(b+4)\)
2. \(9q^{4}+60q^2x+100x^2=(3q^2+10x)^2\)
3. \(64s^{8}+144s^4y+81y^2=(8s^4+9y)^2\)
4. \(121p^{4}-144=(11p^2+12)(11p^2-12)\)
5. \(-4p^2+9=(3-2p)(3+2p)\)
6. \(121x^2+22x+1=(11x+1)^2\)
7. \(256b^2-1=(16b+1)(16b-1)\)
8. \(p^2-4p+4=(p-2)^2\)
9. \(q^2+4q+4=(q+2)^2\)
10. \(81a^2-25=(9a+5)(9a-5)\)
11. \(4p^2-225=(2p+15)(2p-15)\)
12. \(49q^2-144b^{4}=(7q-12b^2)(7q+12b^2)\)