Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9s^{14}-4x^2\)
2. \(1-144q^{16}\)
3. \(x^2+16x+64\)
4. \(121p^{8}-169\)
5. \(b^2-25\)
6. \(121q^2-64\)
7. \(y^2-81\)
8. \(y^2-1\)
9. \(225p^2-121\)
10. \(49a^{8}+210a^4+225\)
11. \(9y^2-64q^{10}\)
12. \(256x^{6}+480x^3y+225y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9s^{14}-4x^2=(3s^7+2x)(3s^7-2x)\)
2. \(1-144q^{16}=(1-12q^8)(1+12q^8)\)
3. \(x^2+16x+64=(x+8)^2\)
4. \(121p^{8}-169=(11p^4+13)(11p^4-13)\)
5. \(b^2-25=(b-5)(b+5)\)
6. \(121q^2-64=(11q+8)(11q-8)\)
7. \(y^2-81=(y-9)(y+9)\)
8. \(y^2-1=(y+1)(y-1)\)
9. \(225p^2-121=(15p+11)(15p-11)\)
10. \(49a^{8}+210a^4+225=(7a^4+15)^2\)
11. \(9y^2-64q^{10}=(3y-8q^5)(3y+8q^5)\)
12. \(256x^{6}+480x^3y+225y^2=(16x^3+15y)^2\)