Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-256p^2+81\)
2. \(225s^{6}+210s^3x+49x^2\)
3. \(169x^{10}+286x^5+121\)
4. \(64y^{12}-9\)
5. \(p^2-4p+4\)
6. \(64-49a^{6}\)
7. \(169x^{8}-144\)
8. \(a^2-9\)
9. \(196q^2-169a^{14}\)
10. \(36y^2-49\)
11. \(225y^{10}-121\)
12. \(100s^{8}-260s^4x+169x^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-256p^2+81=(9-16p)(9+16p)\)
2. \(225s^{6}+210s^3x+49x^2=(15s^3+7x)^2\)
3. \(169x^{10}+286x^5+121=(13x^5+11)^2\)
4. \(64y^{12}-9=(8y^6+3)(8y^6-3)\)
5. \(p^2-4p+4=(p-2)^2\)
6. \(64-49a^{6}=(8-7a^3)(8+7a^3)\)
7. \(169x^{8}-144=(13x^4+12)(13x^4-12)\)
8. \(a^2-9=(a+3)(a-3)\)
9. \(196q^2-169a^{14}=(14q-13a^7)(14q+13a^7)\)
10. \(36y^2-49=(6y+7)(6y-7)\)
11. \(225y^{10}-121=(15y^5+11)(15y^5-11)\)
12. \(100s^{8}-260s^4x+169x^2=(10s^4-13x)^2\)