Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(9q^{10}-84q^5+196\)
2. \(p^2+12p+36\)
3. \(-16y^2+1\)
4. \(144a^{10}-168a^5x+49x^2\)
5. \(256p^2-160p+25\)
6. \(x^2-121\)
7. \(9b^{6}-84b^3q+196q^2\)
8. \(256p^{6}+416p^3+169\)
9. \(p^{14}-4x^2\)
10. \(36y^{8}+132y^4+121\)
11. \(36-169b^{6}\)
12. \(4a^2+4a+1\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(9q^{10}-84q^5+196=(3q^5-14)^2\)
2. \(p^2+12p+36=(p+6)^2\)
3. \(-16y^2+1=(1-4y)(1+4y)\)
4. \(144a^{10}-168a^5x+49x^2=(12a^5-7x)^2\)
5. \(256p^2-160p+25=(16p-5)^2\)
6. \(x^2-121=(x+11)(x-11)\)
7. \(9b^{6}-84b^3q+196q^2=(3b^3-14q)^2\)
8. \(256p^{6}+416p^3+169=(16p^3+13)^2\)
9. \(p^{14}-4x^2=(p^7+2x)(p^7-2x)\)
10. \(36y^{8}+132y^4+121=(6y^4+11)^2\)
11. \(36-169b^{6}=(6-13b^3)(6+13b^3)\)
12. \(4a^2+4a+1=(2a+1)^2\)