Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(196x^2-169\)
2. \(121a^2-176a+64\)
3. \(a^2+12a+36\)
4. \(169a^2-225\)
5. \(256b^{6}+288b^3+81\)
6. \(x^2-26x+169\)
7. \(121p^{10}-176p^5q+64q^2\)
8. \(169y^2+364y+196\)
9. \(q^2-4\)
10. \(49s^2-84s+36\)
11. \(225-64a^{6}\)
12. \(225s^{8}-60s^4+4\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(196x^2-169=(14x+13)(14x-13)\)
2. \(121a^2-176a+64=(11a-8)^2\)
3. \(a^2+12a+36=(a+6)^2\)
4. \(169a^2-225=(13a+15)(13a-15)\)
5. \(256b^{6}+288b^3+81=(16b^3+9)^2\)
6. \(x^2-26x+169=(x-13)^2\)
7. \(121p^{10}-176p^5q+64q^2=(11p^5-8q)^2\)
8. \(169y^2+364y+196=(13y+14)^2\)
9. \(q^2-4=(q-2)(q+2)\)
10. \(49s^2-84s+36=(7s-6)^2\)
11. \(225-64a^{6}=(15-8a^3)(15+8a^3)\)
12. \(225s^{8}-60s^4+4=(15s^4-2)^2\)