Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196b^2-308b+121\)
2. \(p^2-14p+49\)
3. \(25-196b^{16}\)
4. \(1-144y^{4}\)
5. \(49y^2-42y+9\)
6. \(x^2+4x+4\)
7. \(64s^{10}+176s^5+121\)
8. \(169p^{10}+364p^5+196\)
9. \(9p^{6}-196y^2\)
10. \(144a^{8}-264a^4y+121y^2\)
11. \(100p^{4}-260p^2y+169y^2\)
12. \(225-64s^{16}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196b^2-308b+121=(14b-11)^2\)
2. \(p^2-14p+49=(p-7)^2\)
3. \(25-196b^{16}=(5-14b^8)(5+14b^8)\)
4. \(1-144y^{4}=(1-12y^2)(1+12y^2)\)
5. \(49y^2-42y+9=(7y-3)^2\)
6. \(x^2+4x+4=(x+2)^2\)
7. \(64s^{10}+176s^5+121=(8s^5+11)^2\)
8. \(169p^{10}+364p^5+196=(13p^5+14)^2\)
9. \(9p^{6}-196y^2=(3p^3+14y)(3p^3-14y)\)
10. \(144a^{8}-264a^4y+121y^2=(12a^4-11y)^2\)
11. \(100p^{4}-260p^2y+169y^2=(10p^2-13y)^2\)
12. \(225-64s^{16}=(15-8s^8)(15+8s^8)\)