Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^{6}+12s^3+4\)
2. \(-256s^2+25\)
3. \(-196q^2+1\)
4. \(36b^{6}+132b^3p+121p^2\)
5. \(b^2-25\)
6. \(64s^{10}+16s^5x+1x^2\)
7. \(25-144p^{14}\)
8. \(b^2+16b+64\)
9. \(25x^2-144a^{10}\)
10. \(169q^2-49a^{8}\)
11. \(49y^{10}-36\)
12. \(b^2-1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^{6}+12s^3+4=(3s^3+2)^2\)
2. \(-256s^2+25=(5-16s)(5+16s)\)
3. \(-196q^2+1=(1-14q)(1+14q)\)
4. \(36b^{6}+132b^3p+121p^2=(6b^3+11p)^2\)
5. \(b^2-25=(b+5)(b-5)\)
6. \(64s^{10}+16s^5x+1x^2=(8s^5+x)^2\)
7. \(25-144p^{14}=(5-12p^7)(5+12p^7)\)
8. \(b^2+16b+64=(b+8)^2\)
9. \(25x^2-144a^{10}=(5x-12a^5)(5x+12a^5)\)
10. \(169q^2-49a^{8}=(13q-7a^4)(13q+7a^4)\)
11. \(49y^{10}-36=(7y^5+6)(7y^5-6)\)
12. \(b^2-1=(b-1)(b+1)\)