Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^{6}-48y^3+64\)
2. \(16q^{10}-88q^5+121\)
3. \(-9b^2+49\)
4. \(q^2+4q+4\)
5. \(81s^2-72s+16\)
6. \(196b^{8}-252b^4+81\)
7. \(25a^{6}-120a^3p+144p^2\)
8. \(49p^2+42p+9\)
9. \(196s^{10}+28s^5y+1y^2\)
10. \(169s^{6}-4\)
11. \(4p^2-1\)
12. \(169p^{10}-156p^5x+36x^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^{6}-48y^3+64=(3y^3-8)^2\)
2. \(16q^{10}-88q^5+121=(4q^5-11)^2\)
3. \(-9b^2+49=(7-3b)(7+3b)\)
4. \(q^2+4q+4=(q+2)^2\)
5. \(81s^2-72s+16=(9s-4)^2\)
6. \(196b^{8}-252b^4+81=(14b^4-9)^2\)
7. \(25a^{6}-120a^3p+144p^2=(5a^3-12p)^2\)
8. \(49p^2+42p+9=(7p+3)^2\)
9. \(196s^{10}+28s^5y+1y^2=(14s^5+y)^2\)
10. \(169s^{6}-4=(13s^3+2)(13s^3-2)\)
11. \(4p^2-1=(2p+1)(2p-1)\)
12. \(169p^{10}-156p^5x+36x^2=(13p^5-6x)^2\)