Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(16y^2-121x^{14}\)
2. \(9a^{4}-66a^2q+121q^2\)
3. \(144q^2+264q+121\)
4. \(81x^{8}-234x^4y+169y^2\)
5. \(49y^{6}-182y^3+169\)
6. \(p^2-16p+64\)
7. \(4a^{8}-225y^2\)
8. \(36s^{10}+60s^5x+25x^2\)
9. \(169-100y^{10}\)
10. \(a^2-1\)
11. \(q^2-144\)
12. \(-16x^2+25\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(16y^2-121x^{14}=(4y-11x^7)(4y+11x^7)\)
2. \(9a^{4}-66a^2q+121q^2=(3a^2-11q)^2\)
3. \(144q^2+264q+121=(12q+11)^2\)
4. \(81x^{8}-234x^4y+169y^2=(9x^4-13y)^2\)
5. \(49y^{6}-182y^3+169=(7y^3-13)^2\)
6. \(p^2-16p+64=(p-8)^2\)
7. \(4a^{8}-225y^2=(2a^4+15y)(2a^4-15y)\)
8. \(36s^{10}+60s^5x+25x^2=(6s^5+5x)^2\)
9. \(169-100y^{10}=(13-10y^5)(13+10y^5)\)
10. \(a^2-1=(a+1)(a-1)\)
11. \(q^2-144=(q+12)(q-12)\)
12. \(-16x^2+25=(5-4x)(5+4x)\)