Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(4q^2+52q+169\)
2. \(p^2-22p+121\)
3. \(q^2-1\)
4. \(q^2-169\)
5. \(q^2+16q+64\)
6. \(p^2-4\)
7. \(64b^{10}+176b^5s+121s^2\)
8. \(169x^{6}+390x^3+225\)
9. \(196y^{6}+364y^3+169\)
10. \(225b^{14}-16y^2\)
11. \(1-196p^{12}\)
12. \(100s^{10}-9x^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(4q^2+52q+169=(2q+13)^2\)
2. \(p^2-22p+121=(p-11)^2\)
3. \(q^2-1=(q+1)(q-1)\)
4. \(q^2-169=(q+13)(q-13)\)
5. \(q^2+16q+64=(q+8)^2\)
6. \(p^2-4=(p+2)(p-2)\)
7. \(64b^{10}+176b^5s+121s^2=(8b^5+11s)^2\)
8. \(169x^{6}+390x^3+225=(13x^3+15)^2\)
9. \(196y^{6}+364y^3+169=(14y^3+13)^2\)
10. \(225b^{14}-16y^2=(15b^7+4y)(15b^7-4y)\)
11. \(1-196p^{12}=(1-14p^6)(1+14p^6)\)
12. \(100s^{10}-9x^2=(10s^5+3x)(10s^5-3x)\)