Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(121q^{10}-286q^5+169\)
2. \(25x^2-256q^{6}\)
3. \(25a^2+20a+4\)
4. \(x^2-9\)
5. \(1-16x^{8}\)
6. \(9b^2-30b+25\)
7. \(p^2-10p+25\)
8. \(s^2-1\)
9. \(169-64s^{16}\)
10. \(169p^{6}+364p^3+196\)
11. \(a^2-16a+64\)
12. \(16q^2+8q+1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(121q^{10}-286q^5+169=(11q^5-13)^2\)
2. \(25x^2-256q^{6}=(5x-16q^3)(5x+16q^3)\)
3. \(25a^2+20a+4=(5a+2)^2\)
4. \(x^2-9=(x-3)(x+3)\)
5. \(1-16x^{8}=(1-4x^4)(1+4x^4)\)
6. \(9b^2-30b+25=(3b-5)^2\)
7. \(p^2-10p+25=(p-5)^2\)
8. \(s^2-1=(s+1)(s-1)\)
9. \(169-64s^{16}=(13-8s^8)(13+8s^8)\)
10. \(169p^{6}+364p^3+196=(13p^3+14)^2\)
11. \(a^2-16a+64=(a-8)^2\)
12. \(16q^2+8q+1=(4q+1)^2\)