Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(36q^2-132q+121\)
2. \(25x^{8}-121\)
3. \(-49a^2+225\)
4. \(25a^{8}-90a^4x+81x^2\)
5. \(81q^{10}+72q^5s+16s^2\)
6. \(196q^2+28q+1\)
7. \(25p^{16}-196\)
8. \(121y^{16}-100\)
9. \(q^2-4\)
10. \(225p^{6}+390p^3+169\)
11. \(64p^{14}-25\)
12. \(64a^2-112a+49\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(36q^2-132q+121=(6q-11)^2\)
2. \(25x^{8}-121=(5x^4+11)(5x^4-11)\)
3. \(-49a^2+225=(15-7a)(15+7a)\)
4. \(25a^{8}-90a^4x+81x^2=(5a^4-9x)^2\)
5. \(81q^{10}+72q^5s+16s^2=(9q^5+4s)^2\)
6. \(196q^2+28q+1=(14q+1)^2\)
7. \(25p^{16}-196=(5p^8+14)(5p^8-14)\)
8. \(121y^{16}-100=(11y^8+10)(11y^8-10)\)
9. \(q^2-4=(q+2)(q-2)\)
10. \(225p^{6}+390p^3+169=(15p^3+13)^2\)
11. \(64p^{14}-25=(8p^7+5)(8p^7-5)\)
12. \(64a^2-112a+49=(8a-7)^2\)