Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+6y+9\)
2. \(-196x^2+9\)
3. \(64p^2+48p+9\)
4. \(81x^{6}-234x^3+169\)
5. \(q^2+12q+36\)
6. \(169s^2-312s+144\)
7. \(256s^{8}-1\)
8. \(121a^{16}-4y^2\)
9. \(100p^2-180p+81\)
10. \(225y^{10}-16\)
11. \(169p^{8}-156p^4y+36y^2\)
12. \(225p^{6}+210p^3+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+6y+9=(y+3)^2\)
2. \(-196x^2+9=(3-14x)(3+14x)\)
3. \(64p^2+48p+9=(8p+3)^2\)
4. \(81x^{6}-234x^3+169=(9x^3-13)^2\)
5. \(q^2+12q+36=(q+6)^2\)
6. \(169s^2-312s+144=(13s-12)^2\)
7. \(256s^{8}-1=(16s^4+1)(16s^4-1)\)
8. \(121a^{16}-4y^2=(11a^8+2y)(11a^8-2y)\)
9. \(100p^2-180p+81=(10p-9)^2\)
10. \(225y^{10}-16=(15y^5+4)(15y^5-4)\)
11. \(169p^{8}-156p^4y+36y^2=(13p^4-6y)^2\)
12. \(225p^{6}+210p^3+49=(15p^3+7)^2\)