Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49q^{8}-84q^4s+36s^2\)
2. \(169y^2-100q^{4}\)
3. \(36q^{6}-132q^3s+121s^2\)
4. \(81y^2-49\)
5. \(49a^{4}+56a^2+16\)
6. \(s^2-81\)
7. \(-100y^2+169\)
8. \(4p^{10}+4p^5q+1q^2\)
9. \(s^2-64\)
10. \(196y^2+28y+1\)
11. \(y^2+14y+49\)
12. \(-64s^2+1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49q^{8}-84q^4s+36s^2=(7q^4-6s)^2\)
2. \(169y^2-100q^{4}=(13y-10q^2)(13y+10q^2)\)
3. \(36q^{6}-132q^3s+121s^2=(6q^3-11s)^2\)
4. \(81y^2-49=(9y+7)(9y-7)\)
5. \(49a^{4}+56a^2+16=(7a^2+4)^2\)
6. \(s^2-81=(s-9)(s+9)\)
7. \(-100y^2+169=(13-10y)(13+10y)\)
8. \(4p^{10}+4p^5q+1q^2=(2p^5+q)^2\)
9. \(s^2-64=(s+8)(s-8)\)
10. \(196y^2+28y+1=(14y+1)^2\)
11. \(y^2+14y+49=(y+7)^2\)
12. \(-64s^2+1=(1-8s)(1+8s)\)