Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^2+126a+81\)
2. \(x^2-26x+169\)
3. \(-16p^2+121\)
4. \(16b^2+120b+225\)
5. \(q^2+26q+169\)
6. \(36a^2-132a+121\)
7. \(16s^{8}-121y^2\)
8. \(144p^{8}-264p^4+121\)
9. \(49x^{10}+154x^5+121\)
10. \(p^2+24p+144\)
11. \(49p^{8}+56p^4x+16x^2\)
12. \(64x^2-25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^2+126a+81=(7a+9)^2\)
2. \(x^2-26x+169=(x-13)^2\)
3. \(-16p^2+121=(11-4p)(11+4p)\)
4. \(16b^2+120b+225=(4b+15)^2\)
5. \(q^2+26q+169=(q+13)^2\)
6. \(36a^2-132a+121=(6a-11)^2\)
7. \(16s^{8}-121y^2=(4s^4+11y)(4s^4-11y)\)
8. \(144p^{8}-264p^4+121=(12p^4-11)^2\)
9. \(49x^{10}+154x^5+121=(7x^5+11)^2\)
10. \(p^2+24p+144=(p+12)^2\)
11. \(49p^{8}+56p^4x+16x^2=(7p^4+4x)^2\)
12. \(64x^2-25=(8x+5)(8x-5)\)