Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(25p^2-120p+144\)
2. \(b^2-20b+100\)
3. \(100y^{8}-260y^4+169\)
4. \(169-9p^{14}\)
5. \(y^2-144\)
6. \(-64p^2+1\)
7. \(81p^2-196a^{10}\)
8. \(121y^2-144x^{4}\)
9. \(49-256a^{14}\)
10. \(-144p^2+49\)
11. \(x^2-100\)
12. \(225a^2-60a+4\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(25p^2-120p+144=(5p-12)^2\)
2. \(b^2-20b+100=(b-10)^2\)
3. \(100y^{8}-260y^4+169=(10y^4-13)^2\)
4. \(169-9p^{14}=(13-3p^7)(13+3p^7)\)
5. \(y^2-144=(y-12)(y+12)\)
6. \(-64p^2+1=(1-8p)(1+8p)\)
7. \(81p^2-196a^{10}=(9p-14a^5)(9p+14a^5)\)
8. \(121y^2-144x^{4}=(11y-12x^2)(11y+12x^2)\)
9. \(49-256a^{14}=(7-16a^7)(7+16a^7)\)
10. \(-144p^2+49=(7-12p)(7+12p)\)
11. \(x^2-100=(x-10)(x+10)\)
12. \(225a^2-60a+4=(15a-2)^2\)