Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196x^2-169\)
2. \(a^2-8a+16\)
3. \(49y^{6}-224y^3+256\)
4. \(-121x^2+1\)
5. \(s^2-64\)
6. \(s^2-169\)
7. \(q^2-169\)
8. \(196s^{4}-1\)
9. \(169p^2+364p+196\)
10. \(9p^{6}-30p^3x+25x^2\)
11. \(81y^2+18y+1\)
12. \(b^2-144\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196x^2-169=(14x+13)(14x-13)\)
2. \(a^2-8a+16=(a-4)^2\)
3. \(49y^{6}-224y^3+256=(7y^3-16)^2\)
4. \(-121x^2+1=(1-11x)(1+11x)\)
5. \(s^2-64=(s+8)(s-8)\)
6. \(s^2-169=(s+13)(s-13)\)
7. \(q^2-169=(q-13)(q+13)\)
8. \(196s^{4}-1=(14s^2+1)(14s^2-1)\)
9. \(169p^2+364p+196=(13p+14)^2\)
10. \(9p^{6}-30p^3x+25x^2=(3p^3-5x)^2\)
11. \(81y^2+18y+1=(9y+1)^2\)
12. \(b^2-144=(b+12)(b-12)\)