Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36a^{6}-132a^3s+121s^2\)
2. \(y^2+10y+25\)
3. \(121a^{6}+154a^3x+49x^2\)
4. \(a^2-225\)
5. \(4y^2+12y+9\)
6. \(25a^{6}-169s^2\)
7. \(169b^{6}+182b^3+49\)
8. \(x^2+18x+81\)
9. \(49y^{6}-144\)
10. \(9y^{8}-12y^4+4\)
11. \(81p^{4}-234p^2+169\)
12. \(-16q^2+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36a^{6}-132a^3s+121s^2=(6a^3-11s)^2\)
2. \(y^2+10y+25=(y+5)^2\)
3. \(121a^{6}+154a^3x+49x^2=(11a^3+7x)^2\)
4. \(a^2-225=(a-15)(a+15)\)
5. \(4y^2+12y+9=(2y+3)^2\)
6. \(25a^{6}-169s^2=(5a^3+13s)(5a^3-13s)\)
7. \(169b^{6}+182b^3+49=(13b^3+7)^2\)
8. \(x^2+18x+81=(x+9)^2\)
9. \(49y^{6}-144=(7y^3+12)(7y^3-12)\)
10. \(9y^{8}-12y^4+4=(3y^4-2)^2\)
11. \(81p^{4}-234p^2+169=(9p^2-13)^2\)
12. \(-16q^2+25=(5-4q)(5+4q)\)