Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2+28a+196\)
2. \(s^2+12s+36\)
3. \(256x^{8}-9\)
4. \(9x^{10}-84x^5+196\)
5. \(81q^2-72q+16\)
6. \(16a^2-121\)
7. \(25-36p^{14}\)
8. \(100-81q^{14}\)
9. \(64p^{8}+208p^4y+169y^2\)
10. \(49-169s^{12}\)
11. \(-121p^2+36\)
12. \(225b^{6}-196y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2+28a+196=(a+14)^2\)
2. \(s^2+12s+36=(s+6)^2\)
3. \(256x^{8}-9=(16x^4+3)(16x^4-3)\)
4. \(9x^{10}-84x^5+196=(3x^5-14)^2\)
5. \(81q^2-72q+16=(9q-4)^2\)
6. \(16a^2-121=(4a+11)(4a-11)\)
7. \(25-36p^{14}=(5-6p^7)(5+6p^7)\)
8. \(100-81q^{14}=(10-9q^7)(10+9q^7)\)
9. \(64p^{8}+208p^4y+169y^2=(8p^4+13y)^2\)
10. \(49-169s^{12}=(7-13s^6)(7+13s^6)\)
11. \(-121p^2+36=(6-11p)(6+11p)\)
12. \(225b^{6}-196y^2=(15b^3+14y)(15b^3-14y)\)