Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-4a^{10}\)
2. \(225b^2-196a^{8}\)
3. \(81y^{10}-36y^5+4\)
4. \(s^2+6s+9\)
5. \(16y^2-25p^{8}\)
6. \(196b^2-25\)
7. \(16s^{4}-169x^2\)
8. \(q^2-16q+64\)
9. \(144x^{6}-169\)
10. \(256a^2-81\)
11. \(9y^2-196p^{16}\)
12. \(121q^2-100b^{16}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-4a^{10}=(3-2a^5)(3+2a^5)\)
2. \(225b^2-196a^{8}=(15b-14a^4)(15b+14a^4)\)
3. \(81y^{10}-36y^5+4=(9y^5-2)^2\)
4. \(s^2+6s+9=(s+3)^2\)
5. \(16y^2-25p^{8}=(4y-5p^4)(4y+5p^4)\)
6. \(196b^2-25=(14b+5)(14b-5)\)
7. \(16s^{4}-169x^2=(4s^2+13x)(4s^2-13x)\)
8. \(q^2-16q+64=(q-8)^2\)
9. \(144x^{6}-169=(12x^3+13)(12x^3-13)\)
10. \(256a^2-81=(16a+9)(16a-9)\)
11. \(9y^2-196p^{16}=(3y-14p^8)(3y+14p^8)\)
12. \(121q^2-100b^{16}=(11q-10b^8)(11q+10b^8)\)