Ontbinden in factoren (1)

Hoofdmenu Eentje per keer  🖨

Ontbind in factoren door gebruik te maken van merkwaardige producten

1. \(y^2+20y+100\)
2. \(4q^{10}+44q^5+121\)
3. \(-225x^2+49\)
4. \(y^2+6y+9\)
5. \(169-196s^{12}\)
6. \(x^2-49\)
7. \(4x^{4}+60x^2y+225y^2\)
8. \(y^2+28y+196\)
9. \(256s^2-160s+25\)
10. \(169q^{12}-81s^2\)
11. \(b^2-81\)
12. \(121p^2+220p+100\)

---

Ontbind in factoren door gebruik te maken van merkwaardige producten

Verbetersleutel

1. \(y^2+20y+100=(y+10)^2\)
2. \(4q^{10}+44q^5+121=(2q^5+11)^2\)
3. \(-225x^2+49=(7-15x)(7+15x)\)
4. \(y^2+6y+9=(y+3)^2\)
5. \(169-196s^{12}=(13-14s^6)(13+14s^6)\)
6. \(x^2-49=(x-7)(x+7)\)
7. \(4x^{4}+60x^2y+225y^2=(2x^2+15y)^2\)
8. \(y^2+28y+196=(y+14)^2\)
9. \(256s^2-160s+25=(16s-5)^2\)
10. \(169q^{12}-81s^2=(13q^6+9s)(13q^6-9s)\)
11. \(b^2-81=(b+9)(b-9)\)
12. \(121p^2+220p+100=(11p+10)^2\)