Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25b^{14}-1\)
2. \(196s^{4}+140s^2+25\)
3. \(p^2+2p+1\)
4. \(1-169p^{6}\)
5. \(196p^2-121\)
6. \(p^2-24p+144\)
7. \(169a^{4}+364a^2x+196x^2\)
8. \(p^2-25\)
9. \(s^2-36\)
10. \(36p^{6}+60p^3+25\)
11. \(49y^2-64b^{8}\)
12. \(49x^2-84x+36\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25b^{14}-1=(5b^7+1)(5b^7-1)\)
2. \(196s^{4}+140s^2+25=(14s^2+5)^2\)
3. \(p^2+2p+1=(p+1)^2\)
4. \(1-169p^{6}=(1-13p^3)(1+13p^3)\)
5. \(196p^2-121=(14p+11)(14p-11)\)
6. \(p^2-24p+144=(p-12)^2\)
7. \(169a^{4}+364a^2x+196x^2=(13a^2+14x)^2\)
8. \(p^2-25=(p+5)(p-5)\)
9. \(s^2-36=(s+6)(s-6)\)
10. \(36p^{6}+60p^3+25=(6p^3+5)^2\)
11. \(49y^2-64b^{8}=(7y-8b^4)(7y+8b^4)\)
12. \(49x^2-84x+36=(7x-6)^2\)