Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9y^2-64s^{12}\)
2. \(81q^{6}-234q^3y+169y^2\)
3. \(49x^2-100p^{8}\)
4. \(196p^{10}+28p^5+1\)
5. \(121p^2+44p+4\)
6. \(169x^2-225\)
7. \(4s^2+12s+9\)
8. \(4b^2+4b+1\)
9. \(169p^{10}+312p^5y+144y^2\)
10. \(81-100b^{4}\)
11. \(169-25p^{14}\)
12. \(a^2-100\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9y^2-64s^{12}=(3y-8s^6)(3y+8s^6)\)
2. \(81q^{6}-234q^3y+169y^2=(9q^3-13y)^2\)
3. \(49x^2-100p^{8}=(7x-10p^4)(7x+10p^4)\)
4. \(196p^{10}+28p^5+1=(14p^5+1)^2\)
5. \(121p^2+44p+4=(11p+2)^2\)
6. \(169x^2-225=(13x+15)(13x-15)\)
7. \(4s^2+12s+9=(2s+3)^2\)
8. \(4b^2+4b+1=(2b+1)^2\)
9. \(169p^{10}+312p^5y+144y^2=(13p^5+12y)^2\)
10. \(81-100b^{4}=(9-10b^2)(9+10b^2)\)
11. \(169-25p^{14}=(13-5p^7)(13+5p^7)\)
12. \(a^2-100=(a+10)(a-10)\)