Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25q^{10}-90q^5s+81s^2\)
2. \(16q^{4}-9y^2\)
3. \(36q^{6}+12q^3+1\)
4. \(p^2-196\)
5. \(y^2-169\)
6. \(81x^{8}-234x^4y+169y^2\)
7. \(s^2-4\)
8. \(9x^2-64q^{10}\)
9. \(x^2-225\)
10. \(81a^{12}-100p^2\)
11. \(169q^2+52q+4\)
12. \(36x^2-132x+121\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25q^{10}-90q^5s+81s^2=(5q^5-9s)^2\)
2. \(16q^{4}-9y^2=(4q^2+3y)(4q^2-3y)\)
3. \(36q^{6}+12q^3+1=(6q^3+1)^2\)
4. \(p^2-196=(p-14)(p+14)\)
5. \(y^2-169=(y-13)(y+13)\)
6. \(81x^{8}-234x^4y+169y^2=(9x^4-13y)^2\)
7. \(s^2-4=(s+2)(s-2)\)
8. \(9x^2-64q^{10}=(3x-8q^5)(3x+8q^5)\)
9. \(x^2-225=(x-15)(x+15)\)
10. \(81a^{12}-100p^2=(9a^6+10p)(9a^6-10p)\)
11. \(169q^2+52q+4=(13q+2)^2\)
12. \(36x^2-132x+121=(6x-11)^2\)