Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(49b^2-224b+256\)
2. \(16s^{4}-56s^2+49\)
3. \(64-9q^{16}\)
4. \(144x^2+120x+25\)
5. \(49b^{6}+168b^3+144\)
6. \(196b^{4}+28b^2+1\)
7. \(225p^{6}-210p^3+49\)
8. \(16b^2+120b+225\)
9. \(144p^{10}-264p^5x+121x^2\)
10. \(144a^2-168a+49\)
11. \(1-144p^{14}\)
12. \(81-64y^{16}\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(49b^2-224b+256=(7b-16)^2\)
2. \(16s^{4}-56s^2+49=(4s^2-7)^2\)
3. \(64-9q^{16}=(8-3q^8)(8+3q^8)\)
4. \(144x^2+120x+25=(12x+5)^2\)
5. \(49b^{6}+168b^3+144=(7b^3+12)^2\)
6. \(196b^{4}+28b^2+1=(14b^2+1)^2\)
7. \(225p^{6}-210p^3+49=(15p^3-7)^2\)
8. \(16b^2+120b+225=(4b+15)^2\)
9. \(144p^{10}-264p^5x+121x^2=(12p^5-11x)^2\)
10. \(144a^2-168a+49=(12a-7)^2\)
11. \(1-144p^{14}=(1-12p^7)(1+12p^7)\)
12. \(81-64y^{16}=(9-8y^8)(9+8y^8)\)