Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9a^{8}+12a^4q+4q^2\)
2. \(25x^2-16b^{16}\)
3. \(144a^{8}-25q^2\)
4. \(169y^2-144a^{8}\)
5. \(9x^{8}-12x^4+4\)
6. \(y^2-16y+64\)
7. \(196q^2+28q+1\)
8. \(36q^2+60q+25\)
9. \(y^2+10y+25\)
10. \(169s^{4}-416s^2+256\)
11. \(-4p^2+1\)
12. \(169s^2-312s+144\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9a^{8}+12a^4q+4q^2=(3a^4+2q)^2\)
2. \(25x^2-16b^{16}=(5x-4b^8)(5x+4b^8)\)
3. \(144a^{8}-25q^2=(12a^4+5q)(12a^4-5q)\)
4. \(169y^2-144a^{8}=(13y-12a^4)(13y+12a^4)\)
5. \(9x^{8}-12x^4+4=(3x^4-2)^2\)
6. \(y^2-16y+64=(y-8)^2\)
7. \(196q^2+28q+1=(14q+1)^2\)
8. \(36q^2+60q+25=(6q+5)^2\)
9. \(y^2+10y+25=(y+5)^2\)
10. \(169s^{4}-416s^2+256=(13s^2-16)^2\)
11. \(-4p^2+1=(1-2p)(1+2p)\)
12. \(169s^2-312s+144=(13s-12)^2\)