Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81a^{4}-234a^2b+169b^2\)
2. \(4a^{10}-9s^2\)
3. \(9p^{4}+84p^2+196\)
4. \(-81y^2+64\)
5. \(196b^2+140b+25\)
6. \(p^2-8p+16\)
7. \(y^2-2y+1\)
8. \(64p^2+208p+169\)
9. \(-16a^2+81\)
10. \(9b^{6}+24b^3+16\)
11. \(b^2-26b+169\)
12. \(4b^{4}+4b^2s+1s^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81a^{4}-234a^2b+169b^2=(9a^2-13b)^2\)
2. \(4a^{10}-9s^2=(2a^5+3s)(2a^5-3s)\)
3. \(9p^{4}+84p^2+196=(3p^2+14)^2\)
4. \(-81y^2+64=(8-9y)(8+9y)\)
5. \(196b^2+140b+25=(14b+5)^2\)
6. \(p^2-8p+16=(p-4)^2\)
7. \(y^2-2y+1=(y-1)^2\)
8. \(64p^2+208p+169=(8p+13)^2\)
9. \(-16a^2+81=(9-4a)(9+4a)\)
10. \(9b^{6}+24b^3+16=(3b^3+4)^2\)
11. \(b^2-26b+169=(b-13)^2\)
12. \(4b^{4}+4b^2s+1s^2=(2b^2+s)^2\)