Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(a^2-64\)
2. \(9q^{8}+24q^4x+16x^2\)
3. \(q^2-28q+196\)
4. \(169s^2-121\)
5. \(p^2+2p+1\)
6. \(169-4x^{14}\)
7. \(100y^{4}+140y^2+49\)
8. \(s^2-169\)
9. \(p^2-1\)
10. \(225-196y^{16}\)
11. \(196q^2-169\)
12. \(25s^{16}-1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(a^2-64=(a+8)(a-8)\)
2. \(9q^{8}+24q^4x+16x^2=(3q^4+4x)^2\)
3. \(q^2-28q+196=(q-14)^2\)
4. \(169s^2-121=(13s+11)(13s-11)\)
5. \(p^2+2p+1=(p+1)^2\)
6. \(169-4x^{14}=(13-2x^7)(13+2x^7)\)
7. \(100y^{4}+140y^2+49=(10y^2+7)^2\)
8. \(s^2-169=(s+13)(s-13)\)
9. \(p^2-1=(p-1)(p+1)\)
10. \(225-196y^{16}=(15-14y^8)(15+14y^8)\)
11. \(196q^2-169=(14q+13)(14q-13)\)
12. \(25s^{16}-1=(5s^8+1)(5s^8-1)\)