Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(b^2-24b+144\)
2. \(25s^{6}-120s^3+144\)
3. \(4b^2-169\)
4. \(4p^{4}+36p^2+81\)
5. \(49a^{4}-64s^2\)
6. \(b^2+14b+49\)
7. \(49a^{16}-81s^2\)
8. \(36a^{4}+84a^2q+49q^2\)
9. \(144x^{10}-264x^5+121\)
10. \(-144q^2+1\)
11. \(144b^2-264b+121\)
12. \(y^2-26y+169\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(b^2-24b+144=(b-12)^2\)
2. \(25s^{6}-120s^3+144=(5s^3-12)^2\)
3. \(4b^2-169=(2b+13)(2b-13)\)
4. \(4p^{4}+36p^2+81=(2p^2+9)^2\)
5. \(49a^{4}-64s^2=(7a^2+8s)(7a^2-8s)\)
6. \(b^2+14b+49=(b+7)^2\)
7. \(49a^{16}-81s^2=(7a^8+9s)(7a^8-9s)\)
8. \(36a^{4}+84a^2q+49q^2=(6a^2+7q)^2\)
9. \(144x^{10}-264x^5+121=(12x^5-11)^2\)
10. \(-144q^2+1=(1-12q)(1+12q)\)
11. \(144b^2-264b+121=(12b-11)^2\)
12. \(y^2-26y+169=(y-13)^2\)