Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-20y+100\)
2. \(49-100y^{6}\)
3. \(1-225p^{8}\)
4. \(y^2+20y+100\)
5. \(49-25s^{16}\)
6. \(9p^{10}+6p^5x+1x^2\)
7. \(64q^{4}+240q^2s+225s^2\)
8. \(144s^2-49q^{10}\)
9. \(49-81b^{12}\)
10. \(169x^2-36a^{14}\)
11. \(225x^2-64p^{10}\)
12. \(169x^{6}-156x^3+36\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-20y+100=(y-10)^2\)
2. \(49-100y^{6}=(7-10y^3)(7+10y^3)\)
3. \(1-225p^{8}=(1-15p^4)(1+15p^4)\)
4. \(y^2+20y+100=(y+10)^2\)
5. \(49-25s^{16}=(7-5s^8)(7+5s^8)\)
6. \(9p^{10}+6p^5x+1x^2=(3p^5+x)^2\)
7. \(64q^{4}+240q^2s+225s^2=(8q^2+15s)^2\)
8. \(144s^2-49q^{10}=(12s-7q^5)(12s+7q^5)\)
9. \(49-81b^{12}=(7-9b^6)(7+9b^6)\)
10. \(169x^2-36a^{14}=(13x-6a^7)(13x+6a^7)\)
11. \(225x^2-64p^{10}=(15x-8p^5)(15x+8p^5)\)
12. \(169x^{6}-156x^3+36=(13x^3-6)^2\)