Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49p^{16}-225x^2\)
2. \(225a^2+240a+64\)
3. \(49a^{10}-182a^5x+169x^2\)
4. \(q^2-8q+16\)
5. \(y^2-196\)
6. \(a^2-121\)
7. \(-256x^2+49\)
8. \(100q^2-121b^{10}\)
9. \(q^2-25\)
10. \(100s^2-180s+81\)
11. \(s^2-16s+64\)
12. \(25y^2-20y+4\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49p^{16}-225x^2=(7p^8+15x)(7p^8-15x)\)
2. \(225a^2+240a+64=(15a+8)^2\)
3. \(49a^{10}-182a^5x+169x^2=(7a^5-13x)^2\)
4. \(q^2-8q+16=(q-4)^2\)
5. \(y^2-196=(y+14)(y-14)\)
6. \(a^2-121=(a+11)(a-11)\)
7. \(-256x^2+49=(7-16x)(7+16x)\)
8. \(100q^2-121b^{10}=(10q-11b^5)(10q+11b^5)\)
9. \(q^2-25=(q-5)(q+5)\)
10. \(100s^2-180s+81=(10s-9)^2\)
11. \(s^2-16s+64=(s-8)^2\)
12. \(25y^2-20y+4=(5y-2)^2\)