Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49a^{4}-224a^2s+256s^2\)
2. \(9q^{10}+24q^5x+16x^2\)
3. \(y^2-121\)
4. \(81-25b^{6}\)
5. \(q^2-14q+49\)
6. \(121s^{8}-44s^4+4\)
7. \(b^2-196\)
8. \(s^2-9\)
9. \(25-144b^{14}\)
10. \(p^2+20p+100\)
11. \(25-64y^{14}\)
12. \(a^2-169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49a^{4}-224a^2s+256s^2=(7a^2-16s)^2\)
2. \(9q^{10}+24q^5x+16x^2=(3q^5+4x)^2\)
3. \(y^2-121=(y-11)(y+11)\)
4. \(81-25b^{6}=(9-5b^3)(9+5b^3)\)
5. \(q^2-14q+49=(q-7)^2\)
6. \(121s^{8}-44s^4+4=(11s^4-2)^2\)
7. \(b^2-196=(b+14)(b-14)\)
8. \(s^2-9=(s+3)(s-3)\)
9. \(25-144b^{14}=(5-12b^7)(5+12b^7)\)
10. \(p^2+20p+100=(p+10)^2\)
11. \(25-64y^{14}=(5-8y^7)(5+8y^7)\)
12. \(a^2-169=(a+13)(a-13)\)