Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9-100a^{4}\)
2. \(121y^{10}+308y^5+196\)
3. \(p^2-9\)
4. \(121s^2-225b^{12}\)
5. \(25x^2-140x+196\)
6. \(36b^2-1\)
7. \(b^2-30b+225\)
8. \(-64y^2+169\)
9. \(196-169q^{16}\)
10. \(p^2-196\)
11. \(256b^{10}-288b^5x+81x^2\)
12. \(225q^{6}+60q^3s+4s^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9-100a^{4}=(3-10a^2)(3+10a^2)\)
2. \(121y^{10}+308y^5+196=(11y^5+14)^2\)
3. \(p^2-9=(p-3)(p+3)\)
4. \(121s^2-225b^{12}=(11s-15b^6)(11s+15b^6)\)
5. \(25x^2-140x+196=(5x-14)^2\)
6. \(36b^2-1=(6b+1)(6b-1)\)
7. \(b^2-30b+225=(b-15)^2\)
8. \(-64y^2+169=(13-8y)(13+8y)\)
9. \(196-169q^{16}=(14-13q^8)(14+13q^8)\)
10. \(p^2-196=(p-14)(p+14)\)
11. \(256b^{10}-288b^5x+81x^2=(16b^5-9x)^2\)
12. \(225q^{6}+60q^3s+4s^2=(15q^3+2s)^2\)