Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(-36s^2+121\)
2. \(36s^2-60s+25\)
3. \(4a^{14}-9p^2\)
4. \(a^2+12a+36\)
5. \(81s^{10}-169\)
6. \(9p^{6}-1\)
7. \(q^2-100\)
8. \(-121q^2+144\)
9. \(9x^{6}+12x^3y+4y^2\)
10. \(196x^{4}-308x^2y+121y^2\)
11. \(y^2-36\)
12. \(q^2-100\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(-36s^2+121=(11-6s)(11+6s)\)
2. \(36s^2-60s+25=(6s-5)^2\)
3. \(4a^{14}-9p^2=(2a^7+3p)(2a^7-3p)\)
4. \(a^2+12a+36=(a+6)^2\)
5. \(81s^{10}-169=(9s^5+13)(9s^5-13)\)
6. \(9p^{6}-1=(3p^3+1)(3p^3-1)\)
7. \(q^2-100=(q+10)(q-10)\)
8. \(-121q^2+144=(12-11q)(12+11q)\)
9. \(9x^{6}+12x^3y+4y^2=(3x^3+2y)^2\)
10. \(196x^{4}-308x^2y+121y^2=(14x^2-11y)^2\)
11. \(y^2-36=(y-6)(y+6)\)
12. \(q^2-100=(q-10)(q+10)\)