Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25-4b^{10}\)
2. \(144p^{8}-264p^4+121\)
3. \(x^2-25\)
4. \(100y^{8}+140y^4+49\)
5. \(a^2-144\)
6. \(225-16y^{14}\)
7. \(100b^2-1\)
8. \(64q^2-112q+49\)
9. \(-16b^2+25\)
10. \(b^2-10b+25\)
11. \(p^2-196\)
12. \(121b^{8}+198b^4q+81q^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25-4b^{10}=(5-2b^5)(5+2b^5)\)
2. \(144p^{8}-264p^4+121=(12p^4-11)^2\)
3. \(x^2-25=(x+5)(x-5)\)
4. \(100y^{8}+140y^4+49=(10y^4+7)^2\)
5. \(a^2-144=(a-12)(a+12)\)
6. \(225-16y^{14}=(15-4y^7)(15+4y^7)\)
7. \(100b^2-1=(10b+1)(10b-1)\)
8. \(64q^2-112q+49=(8q-7)^2\)
9. \(-16b^2+25=(5-4b)(5+4b)\)
10. \(b^2-10b+25=(b-5)^2\)
11. \(p^2-196=(p+14)(p-14)\)
12. \(121b^{8}+198b^4q+81q^2=(11b^4+9q)^2\)