Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(81p^{4}-36p^2+4\)
2. \(a^2-10a+25\)
3. \(49b^2-84b+36\)
4. \(144a^{12}-49\)
5. \(-16x^2+121\)
6. \(100s^2-81\)
7. \(144s^{4}-168s^2y+49y^2\)
8. \(p^2+26p+169\)
9. \(4x^2+44x+121\)
10. \(36a^{6}-60a^3+25\)
11. \(36y^2-132y+121\)
12. \(100b^{4}-260b^2q+169q^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(81p^{4}-36p^2+4=(9p^2-2)^2\)
2. \(a^2-10a+25=(a-5)^2\)
3. \(49b^2-84b+36=(7b-6)^2\)
4. \(144a^{12}-49=(12a^6+7)(12a^6-7)\)
5. \(-16x^2+121=(11-4x)(11+4x)\)
6. \(100s^2-81=(10s+9)(10s-9)\)
7. \(144s^{4}-168s^2y+49y^2=(12s^2-7y)^2\)
8. \(p^2+26p+169=(p+13)^2\)
9. \(4x^2+44x+121=(2x+11)^2\)
10. \(36a^{6}-60a^3+25=(6a^3-5)^2\)
11. \(36y^2-132y+121=(6y-11)^2\)
12. \(100b^{4}-260b^2q+169q^2=(10b^2-13q)^2\)