Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-16y^2+225\)
2. \(s^2-100\)
3. \(64a^2-240a+225\)
4. \(49p^{8}-64x^2\)
5. \(256b^2+416b+169\)
6. \(16p^2-56p+49\)
7. \(225y^{8}-330y^4+121\)
8. \(121y^2-49p^{10}\)
9. \(49a^{10}+28a^5+4\)
10. \(p^2-2p+1\)
11. \(100b^2-260b+169\)
12. \(s^2-6s+9\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-16y^2+225=(15-4y)(15+4y)\)
2. \(s^2-100=(s+10)(s-10)\)
3. \(64a^2-240a+225=(8a-15)^2\)
4. \(49p^{8}-64x^2=(7p^4+8x)(7p^4-8x)\)
5. \(256b^2+416b+169=(16b+13)^2\)
6. \(16p^2-56p+49=(4p-7)^2\)
7. \(225y^{8}-330y^4+121=(15y^4-11)^2\)
8. \(121y^2-49p^{10}=(11y-7p^5)(11y+7p^5)\)
9. \(49a^{10}+28a^5+4=(7a^5+2)^2\)
10. \(p^2-2p+1=(p-1)^2\)
11. \(100b^2-260b+169=(10b-13)^2\)
12. \(s^2-6s+9=(s-3)^2\)