Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2-4\)
2. \(100p^{4}+220p^2q+121q^2\)
3. \(64x^2-1\)
4. \(64a^{4}+16a^2q+1q^2\)
5. \(s^2+22s+121\)
6. \(49s^{10}-4\)
7. \(49q^{8}-84q^4y+36y^2\)
8. \(-49y^2+25\)
9. \(a^2-25\)
10. \(169y^{12}-1\)
11. \(36s^2-1\)
12. \(169s^{8}-312s^4y+144y^2\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2-4=(y-2)(y+2)\)
2. \(100p^{4}+220p^2q+121q^2=(10p^2+11q)^2\)
3. \(64x^2-1=(8x+1)(8x-1)\)
4. \(64a^{4}+16a^2q+1q^2=(8a^2+q)^2\)
5. \(s^2+22s+121=(s+11)^2\)
6. \(49s^{10}-4=(7s^5+2)(7s^5-2)\)
7. \(49q^{8}-84q^4y+36y^2=(7q^4-6y)^2\)
8. \(-49y^2+25=(5-7y)(5+7y)\)
9. \(a^2-25=(a-5)(a+5)\)
10. \(169y^{12}-1=(13y^6+1)(13y^6-1)\)
11. \(36s^2-1=(6s+1)(6s-1)\)
12. \(169s^{8}-312s^4y+144y^2=(13s^4-12y)^2\)