Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(256p^{14}-49q^2\)
2. \(25x^2-36\)
3. \(81p^2-234p+169\)
4. \(49p^{8}+154p^4y+121y^2\)
5. \(-36q^2+1\)
6. \(p^2+6p+9\)
7. \(49x^2+112x+64\)
8. \(256p^{8}-288p^4s+81s^2\)
9. \(-49p^2+100\)
10. \(144b^{4}+120b^2+25\)
11. \(-16q^2+169\)
12. \(100a^{16}-9y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(256p^{14}-49q^2=(16p^7+7q)(16p^7-7q)\)
2. \(25x^2-36=(5x+6)(5x-6)\)
3. \(81p^2-234p+169=(9p-13)^2\)
4. \(49p^{8}+154p^4y+121y^2=(7p^4+11y)^2\)
5. \(-36q^2+1=(1-6q)(1+6q)\)
6. \(p^2+6p+9=(p+3)^2\)
7. \(49x^2+112x+64=(7x+8)^2\)
8. \(256p^{8}-288p^4s+81s^2=(16p^4-9s)^2\)
9. \(-49p^2+100=(10-7p)(10+7p)\)
10. \(144b^{4}+120b^2+25=(12b^2+5)^2\)
11. \(-16q^2+169=(13-4q)(13+4q)\)
12. \(100a^{16}-9y^2=(10a^8+3y)(10a^8-3y)\)