Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(144q^{6}-168q^3s+49s^2\)
2. \(169a^{6}+104a^3s+16s^2\)
3. \(256x^{8}+32x^4+1\)
4. \(s^2-25\)
5. \(196y^2+28y+1\)
6. \(121a^2-169\)
7. \(144p^{8}-121y^2\)
8. \(x^2+22x+121\)
9. \(-64p^2+25\)
10. \(144y^{4}-25\)
11. \(-144b^2+1\)
12. \(p^2-9\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(144q^{6}-168q^3s+49s^2=(12q^3-7s)^2\)
2. \(169a^{6}+104a^3s+16s^2=(13a^3+4s)^2\)
3. \(256x^{8}+32x^4+1=(16x^4+1)^2\)
4. \(s^2-25=(s-5)(s+5)\)
5. \(196y^2+28y+1=(14y+1)^2\)
6. \(121a^2-169=(11a+13)(11a-13)\)
7. \(144p^{8}-121y^2=(12p^4+11y)(12p^4-11y)\)
8. \(x^2+22x+121=(x+11)^2\)
9. \(-64p^2+25=(5-8p)(5+8p)\)
10. \(144y^{4}-25=(12y^2+5)(12y^2-5)\)
11. \(-144b^2+1=(1-12b)(1+12b)\)
12. \(p^2-9=(p+3)(p-3)\)