Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36a^2-121\)
2. \(225b^{8}-420b^4+196\)
3. \(16-49x^{16}\)
4. \(9a^{14}-64q^2\)
5. \(81b^{10}+36b^5q+4q^2\)
6. \(s^2-121\)
7. \(9x^2-100p^{14}\)
8. \(-25q^2+196\)
9. \(x^2+6x+9\)
10. \(a^2-25\)
11. \(b^2+2b+1\)
12. \(a^2+26a+169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36a^2-121=(6a+11)(6a-11)\)
2. \(225b^{8}-420b^4+196=(15b^4-14)^2\)
3. \(16-49x^{16}=(4-7x^8)(4+7x^8)\)
4. \(9a^{14}-64q^2=(3a^7+8q)(3a^7-8q)\)
5. \(81b^{10}+36b^5q+4q^2=(9b^5+2q)^2\)
6. \(s^2-121=(s+11)(s-11)\)
7. \(9x^2-100p^{14}=(3x-10p^7)(3x+10p^7)\)
8. \(-25q^2+196=(14-5q)(14+5q)\)
9. \(x^2+6x+9=(x+3)^2\)
10. \(a^2-25=(a+5)(a-5)\)
11. \(b^2+2b+1=(b+1)^2\)
12. \(a^2+26a+169=(a+13)^2\)